Hi lozzie! Welcome!
I'm a big fan of anime aswell, though I think the general quality of the shows has been decreasing in the last years. I follow just a few of the current shows. (Too much generic-moe-ecchi with the same generic plot. Very few new, interesting stuff.)
I can't order my favourites, but I can list them (in no specific order):
-Berserk (they MUST animate the rest of the manga!I'll wait 10 years more if I have to!)
- Saint Seiya (my first anime. Lots of good bloody childhood memories with this one xD)
-Evangelion ( the first anime I watched that was not a children's show. Blew me away.)
-Ruroni Kenshin (I miss the 90s)
-Cowboy Bebop (see above, though I only really watched it last year)
-Pokemon (already going out of childhood but OMG! Gotta Catch Them All!!!)
-Ergo Proxy (I love the opening)
-Elfen Lied (some powerfull scenes there)
-Full Metal Alchemist (both first and current series)
-Death Note (prefer the manga ending, but the anime is good too)
-Azumanga Daioh! (just great lighthearted fun)
-Dragon Ball Z (perfect series for my earlier teen years)
-Toradora! (I tend to dislike generic school-life anime, but I actually liked the characters in this one. It was actually good.)
-Naruto (still a guilty pleasure)
-Slayers (like the songs and the style)
-Kodomo No Jikan (Watched out of curiosity. Not for people that can't stand things that are out of the norm. Really perverted sometimes, making me feel guilty. But the final episodes made it more than it appeared to be. It deserves a mention 'cause it shocked like few anime did.
)
-School Rumble ( I really liked Harima)
-Hellsing (I like vampires! And Alucard is just too badass)
-Excel Saga (nonsense fun!)
-Haruhi Suzumiya (though I haven't seen the new episodes, only the first series)
Wow... That was quite a long list, and I'm sure I forgot some. XD
I recently watched and enjoyed Macademi Wasshoi, Sora No Otoshimono, Higashi No Eden, Maria+Holic.
I'm currently watching: Full Metal Alchemist: Brotherhood, Higurashi No Naku Koro Ni, Sora No Woto, Dance in the Vampire Bund, Honey & Clover, SE Lain, Naruto Shippuden.
I see I pretty much wrote all my anime life. Hehe...
Well, enjoy your stay, and lets talk about anime anytime.