It sounds like when you say "weird" you mean absurdist, so I'll not recommend things like "Ping Pong the Animation" even though it's both excellent and weird.
With that said, the absurdist anime I've seen in roughly descending order of preference are:
- Dan Da Dan - Takes itself a little more seriously than the examples you gave, but things still get very wild.
- BOCCHI THE ROCK! - Nothing absurdist about the plot, but the animators get very creative.
- Nichijou - My Ordinary Life - Most people already know what this is, so I'll just say that City from the same author will be releasing later this year. I haven't read it, but odds are it's great.
- Akiba Maid War - Maid-themed Yakuza drama.
- Space Dandy - Cowboy Bebop if all the main characters were incompetent
- Cromartie High School - High school for delinquents.
- Zom 100: Bucket List of the Dead - Guy has an opportunity to finally leave his abusive company when zombies attack. He resolves to live each day as fully as possible and makes a list of things he wants to do before being turned into a zombie.
- Ghost Stores (the dub of course) - They realized this anime had no appeal as-is to a western audience so they made a batshit insane dub that only loosely follows the original story.
