I like both and, depending on your goals, one may fit your needs more than another. I am not a professional practioner of either yoga or Pilates, but, often make referrals to therapists based on a persons needs. So this is how I look at it...Pilates is a very structured program that is by design progressive. That is, the tools that Pilates developed help you develop the strength to be able to do the Pilates mat routine. So when I see people that have significant injuries, weakness, or limitations I will often suggest working on Pilates first then moving to a Yoga program. Yoga can be progressive, but, you will need to work closely with a practioner or start with a yoga therapy program. BTW you need to be cautious with jumping into a pilates mat video or a yoga video or group classes because they presume that you are healthy. I generally discourage people from pursuing Pilates mat based exercises if they have neck injuries. They would be better off working on the reformer with neck support. I would also suggest that knee or back injury sufferers work with a trained practioner as they start either yoga or pilates.
I would also suggest that Pilates borrowed a lot from yoga and many of the positions in Pilates are similar to some yoga asana/poses. He just had a very good idea of how to get from point A to point B. I also would suggest that Pilates is secular and that yoga can and often does have a spiritual/lifestyle component. That may be good for some people and turn others off.
Purists of any of these techniques have their reasons for sticking to one or the other...but...I believe that good movement therapists work with the person and develop a program that is unique to each person's body, mind, and goals.
With regards to your actual question, PiYO is one that I have seen listed in classes and I recall that there is a program that uses Tai Chi, Yoga, and Pilates. Not sure if there are videos.