I'm a Scot and certainly remember 'Wide, wide as the ocean' , 'Running Over' and 'The wise man built his house upon a rock' (all with actions) and 'I will make you fishers of men, also 'Zacchaeus was a very little man' and 'I don't want to march in the infantry', which sound like versions of songs previously mentioned on this thread. I introduced some of these, with the actions, to children at a London church (high C of E) about 10 years ago, which went down very well!

At Scripture Union there were some songs which more than leaned towards pop, with guitar accompaniment to appeal to teenagers, such as 'If any man will follow' and 'Jesus is the Saviour whom I love to know', the latter actually being a twelve bar blues!

Back to Sunday School. Let me add to the list 'In my heart there rings a melody', which always led straight on to 'Jesus, Jesus, Jesus', 'Do you want a pilot?' and 'Sailing Home', the last sung sitting down and swaying from side to side, with the object of knocking the child on the end of the row off the bench or pew! And of course, 'When the roll is called up yonder'. All good sings.