Those are pretty common anime's tell me what you like and i can recommend you few out the top of my head:
Hellsing - Very Cool Gory Blody good animated Vampire anime must watch.
Strongest Disciple Kenchi - Comedy/Action/Martial arts anime
Steins Gate - Not gonna say much just watch it.
Code Geas - Super cool story well just well done anime
Deathnote - ONE WORD AWESOME
Baki The Grapler - Tad bit older still good imho
Claymore - Awesome fights
Fate Stay Night - AWESOME
Sword Art Online - First season is great rest meh...
Hunter x Hunter - AKA HUNTER X HIATUS not finished but good never the less.
Efen Leid - GORE
Mirai Niki - Psycho girlfirend
... Many more man just tell us the genre :D