DBZ/Pokemon in the mornings years back. Though watched DBZ again like 5-6 years back and got into anime, but before that I did Japanese in primary school and the teacher would sometimes put on Studio Ghibli movies so that too.
I guess the earliest things would be (On T.V):
DBZ, Pokemon, Digimon, Yu-Gi-Oh! Duel Monsters.
The Studio Ghibli movies (some) at school.
Later it would be (On T.V again):
One Piece, and Yu-Gi-Oh! GX and whatever else was on. Like 3 eps of Naruto which I found stupid back then.