The main issue you're going to run into is explained in this answer, specifically:
Avoid learning from manga until you're at a level where you can make
the difference between what you hear and what you can say.
In spite of this, there is a rough guideline you can use to determine which anime you might be able to use to learn even basic pronunciation.... it needs to be boring to your average 15 year old.
In other words:
- no space ships
- no dragons
- no magical girl outfits
- no mecha
- and absolutely no gainax bounce
This isn't to say that you can't learn something from these shows... but be constantly suspicious of the constructions/vocabulary you hear in them until you have a pretty good grasp of the language.
So, what does that leave us? Mostly
- high school dramas (beware archtypically gendered language)
- detective/mystery shows
- sports-focused anime
The only thing that sometimes gets you here is the "humor" characters that are added in with a "wild" accent. For obvious reasons, be careful of any character's "catch phrase".
(Disclaimer: I am not a highly accomplished speaker. A few years ago I was involved with an anime club that was roughly half made up of native Japanese... this is mostly from a series of conversations with these kids, and should be understood from that anecdotal frame of reference)