More anime and not video games? Well, I did suffer through DmC so I could eventually appreciate DMC4: SE more...
Dagashi Kashi - Halfway through, but the humor isn't really getting me. To me, distinctly average.
Phantom World - From what I hear, they didn't even get through the first novel and gave this anime an original happy ending. Which from what I hear, is actually good if they have one season, because the first novel's ending is decidedly not happy. Far from. They kinda allude to it, and I kinda caught on... (but only because I started a TRPG session with a similar plot in mind). It can be enjoyable, but you might have to get past the fan service.
Grimgar - A special mention to Grimgar. It starts off painfully slow, and the pacing is never fast, but I really enjoyed this show. I actually consider the main characters in this anime to be more heroic than some characters in other anime could ever hope to be. Being able to beat up bad guys doesn't make you a hero, it just means you're a brute that happens to be on the right side. The characters in Grimgar make more difficult decisions than who to kill and what they have to pull out to take something down.