Here are the "Unique Units" for all nations on Civ III...
Stats work accordingly - (Attack/Defense/Movement) -- P.S. I will be adding other thing to this list besides stats over time like Pro's and Con's, Shields, Required Technologies & Resources, etc...
ROME - Legionnaire (3/3/1) - Ancient Age
EGYPT - War Chariot (2/1/2) - Ancient Age
GREECE - Hoplite (1/3/1) - Ancient Age
CARTHAGE - Numidian Mercenary (2/3/1) - Ancient Age
CELTS - Gallic Swordsman (3/2/2) - Ancient Age
PERSIA - Immortal (4/2/1) - Ancient Age
HITTITES - Three-Man-Chariot (2/2/2) - Ancient Age
BABYLON - Bowman (2/2/1) - Ancient Age
ZULULAND - Impi (1/2/2) - Ancient Age
ENGLAND - Man-O-War (3/2/5) - Medieval Age
FRANCE - Mustketeer (2/5/1) - Medieval Age
SPAIN - Conquistador (3/2/2) - Medieval Age
PORTUGAL - Carrack (2/2/4) - Medieval Age
GERMANY - Panzer (16/8/3) - Industrial Age
RUSSIA - Cossack (6/3/3) - Medieval Age
SCANDINAVIA - Berzerker (6/2/1) - Medieval Age
OTTOMANS - Sipahi (8/3/3) - Medieval Age
BYZANTINES - Dromon (2/1/3) - Ancient Age
AZTECS - Jaguar Warrior (1/1/2) - Ancient Age
INCA - Chasqui Scout (1/1/1) - Ancient Age
MAYA - Ati-Ati (2/2/1) - Ancient Age
JAPAN - Samurai (4/4/2) - Medieval Age
CHINA - Rider (4/3/3) - Medieval Age
MONGOLS - Keshik (3/2/2) - Medieval Age
ARABIA - Ansar Warrior (4/2/3) - Medieval Age
KOREA - Hwach'a (0/0/1) - Medieval Age
INDIA - War Elephant (4/3/2) - Medieval Age
NETHERLANDS - Swiss Mercenary (1/4/1) - Medieval Age
AMERICA - F-15 (8/4/9) - Modern Age
SUMERIA - Enkidu Warrior (1/2/1) - Ancient Age
IROQUOIS - Mounted Warrior (3/1/2) - Ancient Age