Thanks to Cheez TV (an Australian Program which is sadly off air now) my first anime's were Pokemon, Dragonball z, Cardcaptor Sakura and Sailor Moon which was on a different channel. They're all pretty generic starter anime's.
My first manga however.. hm, it was some random one from the library. I can't remember the name but I had such a hard time reading it. No matter how hard I tried I just could not read it in the correct order. I haven't really tried again, haha. -.-