One thing my kids love is balloons which we have to be very careful around with the new baby seeing she just started crawling. Now if your child won't put hte balloon in their mouth a fun game is to play balloon volleyball or keep the balloon off the floor. You and your child track the balloon making sure that you hit it up in the air before it touches the ground. Another option is to blow to make it go higher. How many body parts can you use to keep the balloon up? For more of a challenge you can pass it back and forth over a chair or a couch to get it high enough and far enough to the other person.
There are other things you can use besides laytex balloons to do crafts like this such as juggling scarves. You can't throw them but they're pretty easy to keep up in the air. Sometimes women's scarves work the same way. We have also used a somewhat deflated myler balloon as they don't pop and they don't have laytex in them which can be a huge problem for some kids especially if they're allergic to bandaids as most bandaids, rubbers like elastic all have some form of laytex in them unless otherwise stated.