You absolutely must watch
Redline. It's an action anime about futuristic racing. It's really cool, with awesomewhack animation from Madhouse and intense, mind-blowing action. The story itself is thin, but entertaining and somewhat charming in its simplicity.
If you want to see a great magical girl series, you should try
Heartcatch Precure. It has lovable characters, awesome villains, and lots of flashy, fun action. You don't have to watch any previous
Precure series to enjoy
Heartcatch, as it stands very well on its own.
For a good recent slice-of-life, you can't get much better than
Usagi Drop. This is a heartwarming and relaxing story about a single man in his early 30's raising an adapted daughter.
Also, don't restrict yourself to recent anime. There are a lot of classics from many years or decades ago that you've probably missed.
Just look around and find them.