Every caregiver is different and so are the people they take care of. You could just ask them directly however chance are they won't be able to think of anything.When I was still a caregiver for my dad I would take him out at least a few times a week. It was difficult because he lost mobility but wasn't aware of it himself. The apartment he was living in was not suitable either as there where 13 steps to the front door.I much appreciated the two boys next door who loyally helped my father up and down the stairs. In exchange I would sometimes invite them to the movies or for ice cream with my dad. I generally appreciated people who would acompany us on these outings as long as I didn't feel I'd have to entertain them or they wouldn't feel embarrassed. Later when it became more difficult to leave I would appreciate it when people would help me out with grocery shopping etc.The most important thing I believe is for the caregiver to know you're there for them and they feel they could count on you when needed.Edited for some typos