To be honest, I'm probably not as much of a anime fan as I always thought I was growing up. Towards the end, there was only a few one's I really cared about, and most of them are one's everyones heard of anyway.

Be that as it may personal favorites (in no order) were;

1. Pokemon (which everyone's heard of - not really following it now, but still give it a chance).
2. Digimon (which I prefered to Pokemon in storyline terms, got up to some of season 4, which I loved then it stopped showing - I watched season 4 eps online, but not much. Even though my friend has a fanfiction of it)
3. Hamtaro (which was hated, but I adored it)
4. Sailor Moon (more familiar with the dub version, eventually stopped airing in the UK just before two knew scouts were going to be introduced).
5. Dragon Ball Z/Dragon Ball GT (Often a joke among anime fans, but "Z" and "GT" hold nostalgic value for me, so I still love them - I only watched some of the original "Dragon Ball" show, as it was only on air for a short time here).
6. Bakugan (fell in love with the design of the battle scenes, and special affects, since they reminded me of Final Fantasy VIII a lot. Another example of the "magic card" anime, that Yugio made famous.)
7. Rave Master (apparently not popular, but I loved it).
8. Hetalia (still new to it, but it's a lot better than I expected it to be).

Honorable mentions;

1. Fruits Basket (loved what I saw of the anime, but am more familiar with the manga).
2. Dual Masters (unfairly hated due to being "a Yugio rip-off, which is unfair due to the fact that a) Yugio doesn't own the whole "magic card" thing, that's a common trope, and b) Dual Masters was a joke anime, so it basically "ripped-off" everything. I liked it at the time, but I'm not missing it as much as I thought I would).

That's all I can think of for now.