Aircraft systems having thrust reversers with support members are disclosed herein. In one embodiment, an aircraft system includes a thrust reverser having a nozzle inner wall, a nozzle outer wall radially outward of the inner wall, and a blocker door carried by the outer wall. The blocker door is movable between a deployed position and a stowed position. The thrust reverser further includes a support member extending between a forward section of a nozzle inner wall and a forward section of the nozzle outer wall. The support member is positioned such that at least a portion of the support member is forward of the blocker door when the blocker door is in the stowed position.