Execute lets the Digimon attack at the end of your turn, hit even unsuspended Digimon, and then delete itself when the attack ends. It's kamikaze removal: you trade the body for a guaranteed pick on whatever your opponent was hiding behind. Best on Digimon that do something when they die or that you were going to lose anyway.
16-38-1. <Execute> is a keyword effect. At the end of your turn, the Digimon with this keyword effect may attack. At the end of the attack, this Digimon is deleted. This effect also allows for attacking an opponent's unsuspended Digimon. 16-38-2. <Execute> is a trigger-type effect that triggers at the end of your turn. (For details, refer to 15-8-3 "Trigger-Type Effects") 16-38-3. The processing from <Execute> is optional. 16-38-4. The processing from <Execute> for deleting this Digimon at the end of the attack is pending processing. (For details, refer to 18-1 "Pending Processing")
Comprehensive Rules §16-38 — official rules page
13 cards carry this keyword:
Rule text © Bandai, quoted from the official Comprehensive Rules for reference. Combalo is not affiliated with Bandai.