If not favorite, ones that touched you in some way.
I'll start by mentioning some movies from my mother tongue(Malayalam of Kerala, India):
- Mumbai Police
A crime thriller (Came out almost 2 decades ago n was very striking for the time)
- KammaraSambhavam
Political/Historic satire/drama (The main actor has some cases on him, but the movie is quite good)
- Kathavasheshan
- Devasuram
Conservative sigma male upper class Kerala dude getting character development. I really liked how the transformation happened in it
- Maheshinte Parthikaaram (Mahesh's Revenge)
Not an action movie.
From my country, but not in my mother tongue:
- Super Deluxe - A Tamil movie that I recently watched, quite unique
- Enthiran (Robot), a Tamil movie
Has over the top stuff, but is fun to watch
- Viduthalai(Liberation), another Tamil movie
- Agent Vinod - A Hindi spy-comedy movie
The anime that I like are Hunter x Hunter, Parasyte, Samurai Flamenco, Gintama.
I found these through now defunct/gone bad sites, but Fei Ren Zai (非人哉) and All Saints Street (万圣街). Both series are animated adaptations of webcomics from the same guy.
Both have similar premises but are vastly different. Fei Ren Zai is a slice of life about mythological creatures, deities, and other such creatures from Chinese mythology living in modern day, done in short skits, pretty much being animated versions of the 4 panel comics the webcomic series is.
All Saints Street follows something similar, except for the fact that it's western creatures (vampires, devils, angels, mummies, zombies, werewolves) living in modern times and doesn't really have that 4 panel comic style Fei Ren Zai has. It follows a demon named Neil Bowman who moves from Hell (Australia if I remember correctly) to live with a vampire friend of his and ends up in the first few episodes (maybe around 10 or less if I'm not wrong?) living with a vampire, mummy, werewolf, and his landlord, an angel and eventually his younger sister. All under a single roof. It's available on Crunchyroll with a Japanese dub, but I personally don't like it. Especially since I really love the use of vocaloid for the original Chinese dub theme song and love the Chinese voices (props to the voice actors).
Also, France's Code Lyoko is an absolute favorite of mine because of how awesome I thought it was growing up and how I still think it's awesome. Mid-2000s cartoon where a group of 2D animated students at an academy must sneak off to go to a 3D CGI virtual world made possible by a radioactive material powered supercomputer that has a deadly computer virus like villainous thing housed inside the virtual world, trying to take out the kids so it can probably take over and get rid of all humans. If you don't wanna be confused on episode 1, as you're thrown in with no explanation, I recommend the episodes X.A.N.A. Awakens part 1 & 2.