The grand yoyo collector's list, it lists all yo-yos from lowest tier to highest tier:
The Wooden Yoyo (10 wood, 20 cobwebs)
The Rally (Salamander drop (crawdad, shelly, etc.))
The Malaise (12 demonite bars)
The Artery (12 crimtane bars)
The Code 1 (Travelling Merchant)
The Amazon (1 vine, 3 jungle spores, 2 stingers and 8 mahogany wood)
The Valor (Dungeon gold chest loot)
The Cascade (Underworld drop after Skeletron dies)
The Format C (Skeleton Merchant)
The Chik (wooden yoyo, crystal shards, souls of light)
The Amarok (Hardmode snow biome drop)
The Code 2 (Travelling Merchant hardmode)
The Gradient (Underground layer drop)
The Hel-Fire (Armored skeleton and hellbat drop)
The Yelets (Hardmode jungle enemies)
The Kraken (Duke Fishron drop)
The Eye of Cthulhu (Mothron drop)
The Terrarian (The Moon Lord drop)
Red's Throw (dev yoyo, expert mode)
Valkyrie Yoyo (dev yoyo, expert mode)
Accessories:
String - 30 cobwebs, increases yoyo range
Counterweight - Sold by the Skeleton Merchant, swings an extra counterweight around when using the yoyo
Yoyo Glove - Sold by the Skeleton Merchant, allows you to use an extra yoyo
Yoyo Bag - Crafted with the three above items, gives all three abilities listed above