This is a page for any animation that copies (or parodies) the style or tropes of Japanese anime. Most of the examples included here are from the US, but I'll mention where any other examples are from. Wikipedia and TV Tropes will have a lot more examples that I don't include here because I personally don't recognize a Japanese influence on them, but that doesn't necessarily mean they weren't influenced by anime. Most of these examples will be things I've seen, but some may be things I'm merely aware of.

Arcane (France/US)
Astro Boy (Hong Kong/US)
Avatar: The Last Airbender
Bee and PuppyCat
Big Hero 6
The Boondocks (somewhat anime-influenced)
Castlevania
Cody Lyoko (France)
Hi Hi Puffy AmiYumi
Kaijudo (US/South Korea)
Kappa Mike (this is a parody of anime)
The Legend of Korra (US/South Korea)
Loonatics Unleashed
Martin Mystery (France/Canada)
Megas XLR
Miraculous: Tales of Ladybug & Cat Noir (France)
My Adventures with Superman (US/South Korea)
My Life as a Teenage Robot
Niko and the Sword of Light (it might be just me, but it reminds me of other anime-inspired shows)
The Owl House (this one feels a bit less anime-influenced to me, but there is some degree of influence)
Perfect Hair Forever (this a parody of anime)
RWBY
Samurai Jack
She-Ra and the Princesses of Power
Shuriken Schoo (France/Spain)
Skyland (France/Canada)
Steven Universe
Sym-Bionic Titan
Teen Titans
Teen Titans Go!
Three Delivery (US/Canada) (more Chinese themed, but with an anime style)
Totally Spies! (France)
Ultimate Spider-Man (has some anime-ish aspects)
Voltron: Legendary Defender (US/South Korea)
W.I.T.C.H. (France/US)
Yin Yang Yo!

Western/Japanese co-productions

Aeon Flux
Jack Chan Adventures (this is about Hong Kong-American characters and mythology, but the animation style is reminiscent of anime)
Oban Star-Racers (France)
Super Robot Monkey Team Hyperforce Go!
The Transformers (for many years, I thought of this as totally anime)
Transformers Animated

Asian (non-Japanese) Animation

Big Fish & Begonia (China)
Pucca (South Korea)
Satellite Girl and Milk Cow (South Korea)
White Snake (China)