Thrillers: Another, Higurashi no naku koro ni, Shiki, Erased, Death note, Kakurenbo-cho
Slice of Life: Great Teacher Onizuka, Miname-Ke, Sayonara Zetsubo Sensei, Aria, Genshiken
Dynasty Warriors: Guin Saga, Kingdom, Utawarerumono, Berserk, Arslan Senki
Mecha: Gundam, Code Geass, Heroic Age, Aldnoah Zero, Evangelion
Emotional: Tegami Bachi, Violet Evergarden, Clannad 1 and 2, Air tv, Kanon, Anohana
Post-apocalyptic: Kabanirei, Attack on Titan, High school of the dead, Blue Gender
Isekai: .hack, Overlord, Kiba, No game no life, Konosuba, re: Zero, Log Horizon, Saga of Tanya the Evil, Now and then here and there, Grimgar,
Philosophical: Chrome Shelled Reigos, Ergo Proxy, Demon King Daimao, Higashi no Eden, Time of Eve
Battle Royale: Mirai Nikki, Btoom!, Deadman Wonderland, Bokurano
Mainstream battle: Yu-yu Hakusho, Ruroni Kenshin, Parasyte, X tv, Air Gear, The Strongest Disciple, Legend of the Condor Hero
Space Opera: Legend of the Galactic Heroes, Irresponsible Captain Tyler, Captain Harlock, Outlaw Star
Harem: Tenchi Muyo, The world God only knows
Other: Kaiji, Ghost in the Shell, Trigun, Mushishi, Madoka Magica, Jyu-oh-sei, RWBY (I'm counting it as anime for recommendation purposes), Cowboy Beebop, FLCL, Abenobashi,
Current Season: Dr. Stone, Beastars, Vinland Saga, Ascendance of a Bookworm
There should likely be plenty more to add to this list but I can't remember them all and it's time for me to go workout.