I'm not the biggest anime nut in the world, but I happen to LOVE Rurouni Kenshin. It doesn't fit your episode criteria, but it was an awesome anime. It's not violent at all. The main character actually promotes not killing. Well I dunno how it is later in the series, but atleast in the beginning. Absolutely spectacular. Give it a shot.

Case Closed AKA Detective Conan is also amazing. Also doesn't fit your episode criteria, but it is a very fun show. It's best watching them in order, but if you don't you won't miss out on much. It does have its plot, but most of it is solving mysteries. The Scooby Doo of animes. Highly recommend it.

Trigun is also another favorite of mine. Only 26 episodes too. Which is double what you want, but a lot less than my previous two mentions. Vash the Stampede is just too likeable of a character. I haven't seen the whole serious, but overall it wasn't very violent. LOVE AND PEACE! LOVE AND PEACE! Plus those sunglasses are sexy. Give it a try.

s-CRY-ed was also very neat. Although it might be a little violent. No blood bath gore or anything (that I remember), but there is a deal of fighting. Also only 26 episodes. I really liked what I saw. You might too. Who knows?

Lupin the Third is a very quirky, yet humorous show. It's more light hearted and comical more than anything, but it can have its moments. I got a chuckle out of every episode. Also short with only 23 episodes. Just an overall great, crazy anime. Although, it is definitely an old one. It's amazing!

Cowboy Bebop has already been mentioned, but it is a great show.

I feel like I'm forgetting some. If I think of them. I'll post. All of the shows I mentioned are absolutely amazing animes. At least watch an episode or two of them. I bet you'll be hooked.

Oh and shame on you for not liking Death Note. I love that series!!!