Pokemon
Pokemon Chronicles
This season, or spin off?, didn't follow the usual Pokemon formula, and a lot of the episodes didn't even focus on Ash (in fact, was Ash even in this series?). There are episodes with only Pokemon, no humans, and at least two episodes focusing on Team Rocket's Jessie, James, and Meowth, without Ash and co. getting involved (one where they end up saving the day and the other recounting their days as Team Rocket grunts training to be field agents). There are also a few that feature Butch and Cassidy as the main villains outside of our main Team Rocket trio's shadow, and this time Richie, Tracey, and Professor Oak get to shine as the heroes who beat the bad guys...
Any episodes of the Pokemon anime that break the usual formula, like...
Episodes where Team Rocket have a different role...either they're playing hero, hapless victims, or, for some reason, they're oddly more competent
Holy Matrimony (and the other episode that fouses on James' grandparents)
Go West, Young Meowth (Meowth recounts his time in Hollywood and ends up facing a gang of angry Meowths)
Meowth Rules (Meowth gets mistaken for a mystical Meowth that can grant good luck)
Pikachu Revolts (where Jessie and James help Ash get the Pokemon back to save Meowth)
The Electrike Company (where James and Meowth actually help Ash help train an Electrike, and even help defeat Jessie when she attacks)
The episode where a Frostlass kidnaps Meowth and Jessie and James help Ash rescue his Pokemon to get Meowth back.
Wabbo-Palooza (the episode where Team Rocket beat up a bike gang who beats up Wobbofet)
The Cave of Mirrors episode (where we learn there's a good guy version of Team Rocket!)
The episode where Jessie and James try to steal an Articuno and fail spectacularly!
Borrowing on Bad Faith (the episode where Jessie gets Ash to lend him his Aipom--at this point they know she's participating in Pokemon contests)
Team Rocket's Shocking Recruit (the episode where Emolga pretends to join Team Rocket)
That episode where Meowth helps out a man who tries to communicate with Pokemon.
Those are the ones that come to mind; there are many others.
Episodes that are mainly Pokemon...
Island of the Giant Pokemon
Bound for Trouble
Frenzied Factory Fiasco
There are many others; Google for the rest!
Now, for the non-Pokemon recommendations...
Death Note is definitely recommended. The anime version is a whole lot better than its movie adaptation.
The weird anime entitled "That Time I was Reincarnated as Slime" is a pretty good one, from what I've seen. There are also some similar ones on Crunchy Roll.
Sword Art Online starts out decent, and I think the first few episodes, where they're still trapped in the first game and fighting for their lives, might be worth viewing.