Why wouldn’t you consider wrestling a martial art?? Traditional Greco-Roman style wrestling is one of the world’s oldest martial arts and can be very effective. A hybrid form of wrestling incorporating striking blows called Pankration was practiced in ancient Greece (and has been somewhat revived) and was an Olympic event, absolutely brutal. Savate or French kickboxing is neat, very fast and powerful. I myself took a couple years of an Okinawa form of karate called Isshin-Ryu but found it to be somewhat incompatible with my body type.