Weekend Rush Events are small events that will occur every weekend. It'll cycle through each of the listed events.
Crown Rush - All enemies deal more damage, but drop more loot. There will be a new prestige mission where you chase down a Gremlin with a bag of crowns. Every time you hit him, he drops 100 crowns, hit him as many times as you can in 3 minutes. Only playable once. Completion gets you nothing.
Boss Rush - All bosses are dropping twice the amount of tokens. There will be a new prestige mission called Boss Rush, in which you play through all the main bosses in the game, not including danger missions. Only playable once. Completion gets you 15 boss tokens of your choice.
Lock Rush - Silver keys, shadow keys, and slime keys are able to be crafted during this event. Silver keys will cost 3 eternal orbs of alchemy and volcanic iron to craft. Shadow keys will cost 6 eternal orbs of alchemy and primal ore to craft. Slime keys will cost 3 eternal orbs of alchemy and 50 gel cores to craft. There will be a new prestige mission where you protect the key factory from invaders. Completing this mission gets you a choice between one of the 3 keys. Only playable once.
Rarity Rush - Orbs and Fire Crystals drop twice as often! No new prestige for this one.