Let's start small.
Pankration and Mu Tau are Greek- though Mu Tau is an art developed by Jim Arvinitis while in the U.S.- he published a book describing the art as "Greek Karate" in the late 70's.
Now, take a deep breath and hang on- cuz we gonna do some listing:
BRAZIL: Capoeira, Gracie Jujutsu (originally Japanese- modified)
BURMA: Bando, Lethwei, Naban
CHINA: Hundreds of variations of Kung Fu, more than can be listed- southern and northern. So many, I won't even list examples.
EGYPT: Sebekkha
FRANCE: Savate, LaBoxe Francais
HAWAII: Lua, Hakoko, Kakalaau, Kula-Kulai, Mokomoko, Kenpo (?)
ICELAND: Glimae
INDIA: Bandesh, Binot, Fari-Gatka, Marma Adi, Silambam
INDONESIA: (many- but these are best known) Bersilat, Gulat, Pentjak Silat, Poekoelan, Silat, Sundra
JAPAN: (again- MANY- best known) Aikido, Aiki-Jutsu, Atemi, Genkatsu, Hakuda, Hojutsu, Iaido, Jojutsu, Judo, Jujutsu (many styles), Karate-Do (many styles), Kempo, Kenjutsu, Kendo, Kobudo, Kyudo, KyuJutsu, Masaki-Ryu, Ninjutsu, Shootboxing, Taijutsu, Torite, Yari-Jutsu, Yawara, Yoshin-Ryu, Yubi-Jutsu
KOREA: Many, many variations of Tae Kwon Do, Hapkido, Kuk Sool Won, Hwarang-Do, KwonBop, Tang Soo Do, Moo Duk Kwan, Tae Kyon, Yudo
MALAYSIA: Poc chek
OKINAWA: Countless styles of Te, Kobudo, Kobujutsu, Tegumi, Toide, Tuite
PHILLIPINES: Arnis (many styles including Kali), Kuntao, Tapado, Yaw Yan
THAILAND: Muay Thai, Thai Boxing
UNITED STATES: (who knows) American Karate (many styles), American Kenpo (many styles), Jeet Kune Do, Sport kickboxing, and variations on every art from everywhere in the world.
VIETNAM: Co-Vo-Do, Cuong Nhu, Nhu Dao, Qwan Ki Do, Viet Vo Dao, Vovinam
This is by no means an even remotely complete list- but I hit some of the major styles of each place. Whew!!!!