Haikyuu, hands down best sports anime I've ever seen.If you want sports anime and consider Chess a sport, (in this case asian chess, yes it's different and called GO/weiqi, but it's for context) more like competition anime.
Hikaru no Go
The characters, the animation (at the time, it was tops, still keeps up), the god damn music, no the god damn fight/competition magic
God damn, the music.
Also, winter is coming to a close, and i haven't watched anything besides aldno Zero, and avoiding this thread (cuz of spoilers), now wife and i want to catch up.
Recommends?
As to what to watch, Death Parade, is all I'd recommend for new to winter anime.
Ongoing, make sure you're watching Parasyte, Nanatsu no Taizai, Cross Ange, Gundam Build Fighters Try (if you saw the original), and Shigatsu wa Kimi no Uso. Maybe Log Horizon. Also Sailor Moon if your wife is into that kind of thing.
If you like Chess anime, you would probably like Chihayafuru. It's an anime about karuta.