If all you want to do is practice listening and learning new words then any TV show will be fine.
If you want to use them to mimic speech/accents etc then stay away from anime for sure.
Personally I like to watch dramas when I can - Things like 仁、ヴォイス～命なき者の声～、銭ゲバ etc (Those dramas are already over but you get the idea)
I also like the news and I like chat shows and things like that.
One of the reasons I like drama so much in particular, is because not only is it entertaining for me, but I also have Japanese subtitle files, so it's easy to look up new words
You can also sign up to
ニコニコ動画(9) to watch any videos you can find.
Sometimes I watch Japanese dubs of The Simpsons on there for example.