honestly i've found it easier to just search google for "_______ review" and read a user created review (not from nihonreview!!!) and if i wanted to see a clip to type in the name of the series in youtube. this is going to be your best bet most likely.
we all have different tastes, what one of us likes another may not. this can be said for all things in this world. the only way you can find out what you like is by trying new things. i dont have the hours to explain each and every recommendation but i can pick out a few for you to try out and write a one sentence explanation. its up to you to youtube an episode or read a review.
rurouni kenshin
-epic story about a legendary wandering samurai. drama, romance, action, it has it all. absolute must own. samurai X is the ova set, rurouni kenshin is the series (3 seasons) the first and second are the best
bleach
-if you liked naruto, you will probably like bleach. a sword wielding supernatural story about the real world, a world of demons and a world of the dead.
utawarerumono
-this series has just about every genre in one. set in a post apocolyptic future where animal genes were spliced with humans so they survive in a more hostile world.
one piece
-while personally i highly detest the series, quite a few people like it so it might be worth looking at.
heroic age
-space drama about a war between different races/cultures.
vandread
-space comedy about a war between the earth and humans sent out to populate the galaxy. a little strange but a personal favorite.
gurren lagann
-nothing can quite explain this one. a little quirky but good nonetheless.
tokko
-humans versus demons with a twist. another personal favorite.
inuyasha
-epic story about a half demon half human swordsman and a girl who accidentally falls into a well and into the past. its a very long story (7 or 8 seasons, 4 movies) but is a must see.
dragonball z, dragonball, dragonball gt
-an old series but theres a little of everything going on. worth watching at least a few episodes if not the whole thing.
spice & wolf
-slow paced drama adventure that is more thought provoking than most.
.....i'm sure i missed a whole hell of alot of titles but this should get you started.