Some protection requires a bit of finesse.

Containment Priest

Flash
If a nontoken creature would enter and it wasn't cast, exile it instead.

Mystery Booster 2

Flash
If a nontoken creature would enter the battlefield and it wasn't cast, exile it instead.

Time Spiral Remastered

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Core Set 2021

Containment Priest's last ability won't affect any creatures that were cast, including ones cast from unusual zones such as your graveyard.

If Containment Priest enters the battlefield at the same time as other creatures, its ability won't affect those creatures.

If Containment Priest enters the battlefield without being cast, its ability won't exile itself.

If a noncreature card wasn't cast and is entering the battlefield as a creature (due to an effect such as that of March of the Machines), it will be exiled. Conversely, if a creature card wasn't cast and is entering the battlefield as a noncreature permanent (for example, Heliod, Sun-Crowned with insufficient devotion), it won't be exiled.