Because I am a fickle person who's favorite anime usually are the ones I am currently watching, I'm only going to be picking series I have finished and still love (which is easy, since I'm only currently watching a couple, and those are very casual.)

Record of The Lodoss War (The one starring Parn, not Spark)
Dragonball (In all it's original Z and GT glory)
Gundam (The original)
Street Fighter 2 V (cheesy, but good.)
Cowboy Bebop (a given, really)
Nadesico (hilarious space comedy, also, Gekigangar III)
Tekkaman Blade (really great retro scifi. Awesome designs)
Golgo 13 (the series may be newish, but my love of Golgo goes way back)
Lupin 3rd (Like Cowboy Bebop, needs no explanation.)

______________________