Darry - stress cardiomyopathy (also known as "broken heart syndrome") due to stress
Two-Bit - alcohol poisoning or kidney failure due to drinking to much
Dally - suicide or beat to death in prison
Steve - car accident
Soda - some wild accident like falling off a roller-coaster or cutting a vein in his neck trying to ice skate
Johnny - shot on the job (he'd be in child protective services)
Pony - old age or his spouse killing him for money