Sorry, I'm a bit late into the thread. I noticed your post from January. If you're still looking for something classic in anime that you may not have seen yet, I have some categorized suggestions:
Movie:
-A Wind Called Amnesia
-Dirty Pair: Project Eden
-Biohunter (amazing and forgotten classic)
-Psycho Diver
-Crusher Joe: The Movie
-Lupin the Third: Farewell to Nostradamus
-NeoTokyo
-Project A-ko (there are like 5 movies)
OVAs:
-Dominion Tank Police
-Megazone 23
-Laughing Target
-Dragon Half
-Gunsmith Cats
-Iria
-Dirty Pair OVA
-Tenchi Muyo OVA
-Video Girl So
-Ushio and Tora
-New Cutey Honey
-Geobreeders (this is a fun one that most haven't heard of)
-3X3 Eyes
TV series:
-Irresponsible Captain Tylor
-Bubblegum Crisis
-The Slayers TV, Next, Try
-Eatman (first one, 98 wasn't quite as great IMO)
-DNA2
-Ranma 1/2 series (ton of episodes...Seasons 1-4 are the best)
-Maison Ikkoku
-City Hunger
-Blue Seed
-Kimagure Orange Road
-Urusei Yatsura
-Lupin the Third Series 2 parts 1 & 2 (this was the wing of the series that Western audiences tend to be more akin to)
I figure based on your Avatar you've seen the original Berserk
*most of these can be found subbed*