Bleach! Currently on episode 70 something. This anime is very popular and you should check it out. It has modern design and even some experimental stuff. Shows that try to push the limits interest me and since it is so popular throughout the world they must be doing something right.
Description of Bleach:
Bleach follows the lives of Ichigo Kurosaki, who is a high school student with the ability to see ghosts, and a shinigami (Soul Reaper or, literally, "death god") named Rukia Kuchiki, who crosses paths with Ichigo while hunting an evil spirit known as a hollow. Rukia is wounded during the ensuing confrontation with the spirit and is left with no choice but to transfer her powers into Ichigo. Thus the adventures of Ichigo and Rukia begin. Together they search for hollows and perform soul burials on wayward souls, cleansing the spirits and sending them to Soul Society. The early parts of the story focus mainly on the characters and their pasts, rather than the actual occupation of the shinigami. As events unfold, the story begins to delve deeper into the world of these gods of death on the "other side" called Soul Society.
The characters are great. The music is Japanese Pop, which I think you will enjoy for such a Japanese animation. Title and ending sequences change every so often so you won't get bored of it and there is more of a chance you will like some of them. :)
Even if it is kind of like Dragon Ball Z where the characters keep getting stronger to overcome the enemy. Thanks to Thomas for that comment! Haha! Everything is like DBZ these days.