Kiseijuu: Sei no Kakuritsu (Parasyte -the maxim-)
Parasitic aliens have descended from space to feed on the brains of weak-willed humans. Somehow, Shinichi Izumi has avoided turning into an alien-zombie by keeping his parasitic hitchhiker from entering his brain, instead keeping it contained in his hand. Now the two have to work together to survive. This brutal horror series sounds like a typical thriller, but its focus on human nature over cheap thrills catapult it into position as one of the best psychological anime. Summary from My anime list.
Welcome to the afterlife. Have a seat at the bar, and let’s play a game. That’s the message that greets the newly deceased in Death Parade. How someone performs in a game determines whether they get a second chance in life, or a one-way ticket south of heaven. Whether the game is bowling or hockey, the results end up the same: each player’s true self is exposed through the game. A great psychological anime that reveals the true face of human nature. Summary from My anime list.