Personally, I prefer anime shows to movies since they’re allowed more time to develop plot and characters. If you’ve ever played any Japanese games you’d know how convoluted the stories can be.

Based on your list of movies, you seem to like a good mix of comedies and tragedy/drama. Below are some shows I think you may like:

• One Punch Man (comedy/action): Saitama is the world’s strongest man and can defeat enemies with a single punch. This causes him to feel ennui with life.
• Erased (mystery/thriller): time travel murder mystery. Don’t want to say too much more. It’s really short (12 episodes) so it should be easy to finish quickly
• Death Note (mystery/thriller): another murder mystery with supernatural elements, this time involving what’s know as the the titular Death Note which can kill anyone who’s name is written inside. This and Fullmetal (below) are pretty much always recommended starter anime.
• Fullmetal Alchemist: Brotherhood (fantasy/adventure): Alchemist Brothers Edward and Alphonse travel the world looking for the Philosopher’s Stone in order to fix an alchemy disaster that left Alphonse’s soul trapped in armor. Make sure you watch Brotherhood first. There are two series of this franchise and the regular Fullmetal Alchemist does not follow the source manga all the way through since it caught up at a certain point.
• Hunter x Hunter (action/adventure): Gon hopes to become a powerful Hunter so he can find his father who left him as a child. Best story of all shonen (boy targeted) manga/anime imo. Only bad thing is that it was dropped before they could complete the series (from where the Manga continued). But the ending it has is also still satisfying.
• Asobi Asobase (slice of life comedy): follows three odd high school friends as they try to find ways past time. Absolutely ridiculous show with no plot, just a lot of really funny situations the girls get themselves into. One of my favorites is a punishment game where loser has to be slapped on the butt.
• Ouran High School Host Club: Haruhi is a working class student who enrolls in a high school for wealthy elites on scholarship. On her first day, she accidentally breaks an expensive vase at the famous all-male host club and now has to work there to pay them back. Only problem is, she’s a girl. Hilarity and hijinks ensue.

And if you don’t want to dedicate less time, here are some more good movie recommendations:

• A Silent Voice: moving film about the redemption of a former school bully to a deaf girl. It’s definitely an emotional roller coaster
• Grave of the Fireflies: I put this in my original list but did not specify that it was an anime movie. Only watch if you want to feel some intense emotions
• Spirited Away: there’s a reason this is the first anime movie to with an Oscar. It’s about a young girl who somehow becomes trapped in a magical fantasy world and has to find her parents and a way back home. Only reason I didn’t include it was cause I actually liked Tokyo Godfathers more. However, it’s definitely one of my favorite Ghibli films for sure.
• Your Name: supernatural movie in which a completely unrelated teenage boy and girl swap bodies. They have to figure out why this happens and how to fix it.