I think the following is a complete list:
CODE
ARCTYPE SR1 SR2 SR3 SR4
Adept - - Y -
Adept, Gunslinger (Ork) - - - Y+
Bodyguard S Y - -
Bounty Hunter (Troll) S - - Y+
Company Man, Former Y Y - -
Covert Ops Specialist - - - Y
Covert Ops Specialist (Elf) - - Y+ -
Decker Y Y - -
Decker (Elven) Y Y - -
Decker, Combat (Ork) - - Y -
Detective Y Y - -
Enforcer (Troll) - - - Y
Face (Dwarf) - - - Y
Face (Elf) - - Y -
Gange Member Y Y - -
Ganger, Sprawl (Ork) - - - Y
Ganger, Sprawl (Troll) - - Y -
Hacker (Ork) - - - Y+
Investigator (Ork) - - Y+ -
Mage (Elf) S - - -
Mage, Burned-Out Y - - -
Mage, Combat S Y - -
Mage, Combat (Elf) - - - Y+
Mage, Combat (Troll) - - Y+ -
Mage, Former Detective S - - -
Mage, Former Wage Y Y - -
Mage, Occult Investigator - - - Y
Mage, Street Y Y - -
Mage, Street (Elf) - - Y -
Mercenary Y Y - -
Mercenary (Dwarf) S Y - -
Mercenary (Ork) Y - - -
Mercenary (Troll) - - Y+ -
Military Officer, Former S - - -
Rigger Y Y - -
Rigger, Drone (Dwarf) - - Y Y
Rigger, Smuggler (Elf) - - - Y
Rigger, Vehicle (Dwarf) - - Y -
Rocker Y - - -
Shaman Y Y - -
Shaman, Radical Eco- (Dwarf) - - - Y
Shaman, Street Y Y - -
Shaman, Street (Ork) - - Y+ -
Shaman, Street (Troll) - - - Y
Shaman, Tribal (Dwarf) - - Y -
Street Samurai Y Y Y+ Y+
Street Samurai (Dwarf) § § - -
Street Samurai (Elf) § § - -
Street Samurai (Ork) § § - -
Street Samurai (Troll) § § - -
Technomancer - - - Y
Tech-Wiz (Dwarf) - - Y+ -
Tribal Warrior, Former S - - -
Tribesman Y Y - -
Weapons Specialist - - Y+ -
Weapons Specialist (Elf) - - - Y
+ -- Also in the respective Quick Start rules
S -- Sprawl Sites
§ -- Street Samurai Catalog