A good example would be the Shinbudo style taught at my schools by other instructors. It combines aspects of Tang Soo Do, Judo, Danzan Ryu, and Brazilian Jiu-jitsu to creat a "comprehensive fighting style".
They do not call it a martial art, but a system that takes only the "effective techniques" and leaves the rest.
It's interesting to say the least. I did it for 5 years just because of the high emphasis on BJJ.