I've never watched an Anime, but I want to start. Recommend me a great one.

[Khuutra]

Blaydcor.

Listen to me.

Don't listen to a LOT of people.

Just watch Cowboy Bebop. From what you've described? It's perfect for you. Watch Cowboy Bebop. It's a good show. You'll like it. The soundtrack alone makes it worth watching.