I found a few things that might interest you that I've listed below:
Champions on Ice III
Champions on Ice II
These are available in DVD and VHS. The descriptions didn't say which routines he was doing, just that he was included in the videos. I'd be surprised if they didn't include at least one of the ones you mentioned above, as those appear to be some of his more popular routines. Also, although you have probably already located this, here are some youtube links of him doing "I'm your man" and "Jazzy Sunglasses".
He also has some videos of these on his website at http://www.garybeacom.com/ . I hope this helps! Best wishes!
Were you saying the tapes I suggested weren't what you were looking for? I just wanted to clarify. If that is the case, and I haven't been able to help you, then I will "opt out" and allow other experts the opportunity to better answer your question.