Will there be an updated multiplier list, or is the latest one good enough for the future?

Do you mean an updated All-Time Multiplier List, or a 2019 Multiplier List? If the former, I'll update it once Bohemian Rhapsody officially ends its run (should be very soon). If the latter, I actually haven't posted one yet for 2019. I usually wait until around the mid-year to post the first yearly multiplier list, which is approaching. I'll try to get it up this weekend, or sometime early next week.

And welcome to the forum.

Thank you for the list! Any chance you could add projection ranges to the bigger movies (or all if you have time) based on current buzz and trends? Just so we get a sense for how things are going

Here is a fairly wide-range list of projections:

¥10 billion+ potential (~$100 million+):
Weathering With You

¥5-¥10 billion potential (~$50-$100 million):
Toy Story 4

¥3-¥5 billion potential (~$30-$50 million):
Aladdin
Men in Black International
Pokemon: Mewtwo Strikes Back - Evolution
Spider-Man: Far From Home
The Secret Life of Pets 2

¥2-¥3 billion potential (~$20-$30 million):
The Great War of Archimedes

¥1 billion potential (~$10 million):
Almost a Miracle
Bento Harassment
Diner
If I Could Ride a Wave With You
Kamen Rider Zi-O: Over Quartzer!
The Fable
Tokyo Ghoul "S"

Less than ¥1 billion (Sub-$10 million):
Anpanman: Sparkle! Princess Vanilla of the Land of Ice Cream
Children of the Sea
Cold Pursuit
Don't Cry, Mr. Ogre
Final Fantasy XIV: Dad of Light
Free! Road to the World - Dream
Hot Gimmick: Girl Meets Boy
Sea of Revival
The Journalist
Uta no Prince-sama The Movie: Maji LOVE Kingdom
X-Men: Dark Phoenix

A few notes:
Weathering With You probably has the widest range since it could "only" earn around ¥10 billion, but it could also easily do ¥15 billion+. It's a uniquely difficult film to predict given how massive Shinkai's last film was.
Toy Story 4 is in a wide range. I expect it to do much better than ¥5 billion but I doubt it matches the success of its predecessor given how Pixar sequels have all declined in the market, so I wouldn't expect a total too close to ¥10 billion.
Aladdin is still a dark horse to me. There are both good and bad signs for it, equally, so I don't feel confident throwing out any specific number for it.

Is Lion King releasing in August then?

Yeah, August 9th.

How much do you think The Lion King will make?

Umm... I don't know. The Disney live-action remakes are hit or miss in the market, and there's a massive gap between the two categories. They Disney Princess films don't just outgross the Disney Animal films, they blow them out of the water at the box-office.

Disney Princess Remakes:
¥12.40 billion ($109.7 million) - Beauty and the Beast
¥11.80 billion ($142.8 million) - Alice in Wonderland
¥6.54 billion ($63.5 million) - Maleficent
¥5.73 billion ($46.6 million) - Cinderella
¥2.78 billion ($26.3 million) - Alice Through the Looking Glass

Disney Animal Remakes:
¥2.43 billion ($21.5 million) - Christopher Robin
¥2.21 billion ($21.5 million) - The Jungle Book
Sub-¥1 billion* ($8/9 million) - Dumbo

*Dumbo might have barely crawled to ¥1 billion, but tracking ended far enough below the mark that it probably did miss it.

Aladdin opens in two weeks, so we'll see how that one does first. It's more in the Disney Princess category, but it's not a traditional Disney Princess film. Will Smith is a decent draw still and keeping the songs and musical numbers in the film will help it, so those are some positives. Overall, I'm feeling good about its chances of success in the market. It won't be Beauty and the Beast or Alice in Wonderland big, but maybe more of a Maleficent/Cinderella type of performance.

As for The Lion King... It's clearly in the Animal category, more so than any other Disney live-action remake, so that's a major negative against it based on the performances of past Disney live-action remakes. Is the remake still a musical? The most recent trailer has Timon and Pumbaa singing "The Lion Sleeps Tonight", but I haven't heard any of the actual classic songs/musical numbers yet. If the retains the songs/musical numbers, that'll help it a lot. If they're excluded, I wouldn't be surprised with a very disappointing (bomb territory) performance.

"Japan, which was also the focus of WB’s promotion and where the movie is handled by Toho, is not expected to react with the typical disdain for U.S. remakes of its IP. Enthusiasm, we hear, is high and Toho has been pushing the hell out of it. The last Godzilla had its second-best showing in Japan with about a $30M final." Deadline

Has the situation for King of the Monsters in Japan changed at all?

I don't think so. I still mostly think it'll have a similar performance as the 2014 film in the market. If it didn't include the many classic kaiju, I'd be predicting a decline, but they'll probably help keep it from dropping too much.

Friday pre-sales are pretty poor so far. It'll be more of an evening/night film, but even the busiest theaters aren't really seeing much in pre-sales for the day. That said, Friday's performance won't really tell us too much this week because Saturday is the 1st of the month (national discount day), so Friday will be deflated as a result. Still, nothing is indicating a breakout or anything of the sort. A big film would still have strong Friday ticket sales regardless.

And I wouldn't take Deadline as a credible source for the market either... Nothing against them, but they always seem to over-hype films based on Japanese material in the market. I remember they "heard" that Alita: Battle Angel was having big pre-sales a week before opening (I didn't even see any advance showings...), even saying people were seeing it twice..., and then suggested it was headed toward a big debut in the market. But that definitely didn't happen. It had a mediocre debut, followed by very poor legs that landed it in the bomb category. And that wasn't surprising. Anyone who follows the Japanese market will tell you that it's very rare for Hollywood adaptations of Japanese source material to succeed in the market.

In case I forget to post it before the weekend, here's the Box-Office History for Godzilla franchise:

Godzilla Box-Office History:
# Of Films: 34 / Years Active: 1954-Present

Admissions:
12.55 million - Godzilla vs. King Kong (1962)
9.61 million - Godzilla (1954)
8.34 million - Godzilla Raids Again (1955)
7.20 million - Godzilla vs. Mothra (1964)
5.69 million - Shin Godzilla (2016)
5.41 million - Ghidorah, the Three-Headed Monster (1964)
5.13 million - Invasion of Astro-Monster (1965)
4.21 million - Godzilla vs. The Sea Monster (1966)
4.20 million - Godzilla vs. Mothra (1992)
4.00 million - Godzilla vs. Destoroyah (1995)
3.90 million - Godzilla (1998) *Hollywood*
3.80 million - Godzilla vs. Mechagodzilla II (1993)
3.40 million - Godzilla vs. Space Godzilla (1994)
3.20 million - The Return of Godzilla (1984)
2.70 million - Godzilla vs. King Ghidorah (1991)
2.50 million - Destroy All Monsters (1968)
2.48 million - Son of Godzilla (1967)
2.40 million - Godzilla, Mothra and King Ghidorah: Giant Monsters All-Out Attack (2001)
2.23 million - Godzilla (2014) *Hollywood*
2.00 million - Godzlla vs. Biollante (1989)
2.00 million - Godzilla 2000 (1999)
1.78 million - Godzilla vs. Gigan (1972)
1.74 million - Godzilla vs. Hedorah (1971)
1.70 million - Godzilla vs. Mechagodzilla III (2002)
1.48 million - All Monsters Attack (1969)
1.35 million - Godzilla vs. Megaguirus (2000)
1.33 million - Godzilla vs. Mechagodzilla (1974)
1.20 million - Godzilla: Tokyo S.O.S (2003)
1.00 million - Godzilla: Final Wars (2004)
0.98 million - Godzilla vs. Megalon (1973)
0.97 million - Terror of Mechagodzilla (1975)

Note (1): This doesn't include the recent animated trilogy. Official admissions (or earnings) were never released since they didn't gross very much, but they sold under 500,000 admissions each, so they'd rank at the bottom of the list.
Note (2): Second Most-Attended Franchise in Japan after the Doraemon Franchise.

It does have the original songs. And didn't Zootopia make bank?

Sure, but Zootopia was animated. It was also incredibly leggy (17x multiplier) due to its very strong reception. It had a somewhat disappointing opening.

End game is close to 6B Yen. Will it reach that number?

Yes, it's still very likely, but it's not quite a guarantee which I believe to be the case last week. Fact is, it had a rough week, and it's possible that Aladdin next week causes it to narrowly miss.