Dailies

Giant Jelly
Grumpy Old King
Tombola
Fruit Machine
Giant Omelette
Coltzan's Shrine The Laboratory (Only if you have collected all the map pieces)
Advent Calendar (Only available in December)
Potato Counter
Guess the Weight of the Marrow

Hourlies
Healing Springs (Every 45 minutes)
Buried Treasure (Every 3 hours)
Ice Caves Scratchcard Kiosk (Every 6 hours)
Deserted Fairground Scratchcrds (Every 2 hours)
Wheel of Excitement (Every 2 hours)
Wheel of Mediocrity (Every hour)
The Snowager (See Neopets hints page for times)
Test your Strength (Every 6 hours)

Hidden Sites
Draik Nest
Jelly World
Fungus Cave
Hidden Tower
Chia Bingo