For me, since I am someone who is VERY EASILY influenced, there's:
Sports animes like Captain Tsubasa, Slam Dunk & Prince of Tennis which have made me more interested in the sport.
La Corda D'oro Primo Passo - taught me to appreciate classical music more
Moyashimon - enhanced my interests in microorganisms and bacteria xD (I recommend this anime to whoever is taking Biology~)
Fruits Basket/Cardcaptor Sakura - If I remember right, these two are the animes that first inspired me to be more optimistic towards everything in life. I’ve always wanted to be like Tohru or Sakura. They’ve taught me to keep looking forward in life and to keep believing that everything will be alright even in the toughest times.
The latest anime which has influenced me would be Tsuritama, a fishing anime! After watching it, I just couldn't help but go all "I WANT TO GO FISHING." xD
What about you guys?