From your description of what you like there is only one way for you to go:
One Piece! You have to watch One Piece. It is one of those fighting animes like DBZ but it handles everything miles better, has great characters and story and man just everything about it is bloody awesome. Honestly I love everything about it except for when the fights go into
so much power omg territory but since it seems you actually liek that I can't think of a single thing you will not like about it. Except for maybe the art style the first 30 episodes.
You will want to skip fillers, some of them are actually pretty good but anyway all of them can be skipped and you won't miss out on anything. See a list of episodes
here, check which ones are filler and skip them.
Two other shows you might (WILL) like are
Gurren Lagann and
Cowboy Bebop. I can't say enough good things about both of them but I can tell you they're both 26 episodes long, Gurren Lagann is a completely over the top mech anime with insane battles (in the final battle they are throwing galaxies at each other like shurikens) with the best plot twist you've ever seen, while Cowboy Bebop is quite the opposite, a sweetly paced, non-serious Villain-of-the-day style story about a lazy bounty hunter and his weird crew, set in the future.