If the NBA had a starting five of great players that are always injured, these guys would win the award for the "first" team.
PG - Gilbert Arenas
SG - Tracy McGrady
SF - Grant Hill
PF - Jermaine O'Neal
C - Yao Ming
Honorable mentions that might lead the second team can be Shaquille O'Neal (abdominal and plantar fasciatus) and TJ Ford (that guy is always getting in some kind of life threatening injury).