An important message of the story where Peter heals the lame man, is that the power displayed is not, owned by Peter, but the power of Jesus flowing through his servant. These games use that idea of passing along alongside ideas about the struggles the lame man may have faced to link into the story.
Copy me
Take it in turns to make a pattern that the group follows. This could be as simple as clapping a beat, or could include many silly actions. Repeat a pattern 3–5 times, then move onto the next.
Link: Peter was imitating Jesus, continuing his work, the power did not come from Peter
Dominoes
Use dominoes or Jenga blocks to make a fall run.
Link: Peter’s ability to heal came from Jesus, even though Jesus was not visibly present.
Relay races
These can be running sections of a course if you have room or passing things down a line like the classic game where you pass a balloon over heads and under legs.
Link: Peter was continuing Jesus’ work, not replacing it.
Pass the parcel
The classic, unwrap a layer when the music stops, game.
Link: God’s gifts are for us to pass on.