Ah, see that's the neat part. At the surface level, it just looks like any other cartoon, or maybe a TV show that's drawn.

But really, it's so much more than that. It's the same reason I like video games. Most anime is Japanese. Right off the bat. And I find that in many Japanese media, there isn't a "limit" as to what is done. No topic is taboo. On top of that, most of the stuff I watch creates a world to enjoy and immerse myself in.

With Live-Action stuff (like most TV we get here in the West) you are limited by physics or special effects. There's only a certain amount of things you can do. And even then, if you overcome those limits you are still forcing the viewer into "this world". There's that graphical tie that doesn't allow you to escape properly.

I avoid realistic games for the same reason. The anime art style frees you from that. Most anime is styled similarly (if you take a look), but there are sometimes creative differences to allow better immersion (take a look at Kaiba for an example).

The anime I like best, are usually those that aren't set up in a "show" format. Just little peaks into other worlds. Most anime fans label them "slice of life." A non-anime example would be something like the show friends (which I also thoroughly enjoyed). Other anime (non-slice-of-life stuff) achieves it slightly as well.

But really, what I like best is that no two anime are the same. Ever. It's always unique, entertaining, and immersive. The art is a non-issue. It just helps escape the expectations of this world. Honestly, I'd rather change my vision to see everything anime-styled if possible. But that's just my preference.