stick in somebody's mind
stick in somebody's memory
stay in somebody's mind

Her face had stayed in my mind ever since Sunday.

The way the sheriff and those others had turned their back on me stayed in my mind.

"Things stay in your mind a long time," he said.

He'd stay in her mind for a few hours, he thought.

Regardless of how often he repeated them, no thoughts wanted to stay in his mind.

They plainly can't stay in your mind if you don't allow them to.

Strange how those sounds stayed so clearly in his mind.

"The quality of the players will always stay in my mind," he said earlier this year.

The idea, however, stayed in Disney's mind for the next few years.

That's going to stay in my mind a long time.