My favourites are Rurouni Kenshin, Bleach, and of the course the all time classic, Pokémon!
Treat anime like you would any other TV programme. Don't just watch something because everybody else does, or even feel the need to enjoy it! As many people have already mentioned, watch an anime which suits your preferences. Some people may think Rurouni Kenshin, Bleach or Pokémon are lame, but I couldn't give a flying ****, i enjoy watching them and will do for a hell of a long time!