Lets see what baskets there are that I can name without looking them up.
Quest AT with the Golf Ball style top, though the rare metal pole baskets the company made in 2000's not the more common all plastic model
Discraft Chainstar lite
DGA Mach II both models old and new, the Mach X or V hard to tell
Areo/Ayro basket the white one very front of pic 2
Gateway, both the Bullseye and the Titian models
Innova, Sport and the Discatcher
Discmania, Portable lite
The One that is no name brand that has single set of chains looks like a Discatcher but is not and is not the Park Sport made for Discmania
MVP/Axiom the Pro model
Prodigy A1 and A2 baskets
The Wham-O basket
Dynamic Disc Patriot maybe a Marksman repainted
Latitude 64 Patriot equivalent
The homemade basket with the dome in final picture next to the Patriot
and the brand that had the alien on the baskets top
Gyro basket, the one in picture 3 with the dome to the basket top next to the lime green Latitude 64 basket.
That is all I know for baskets.