We derive constraints on three-point functions involving the stress tensor, T , and a conserved U(1) current, j, in 2+1 dimensional conformal field theories that violate parity, using conformal collider bounds introduced by Hofman and Maldacena. Conformal invariance allows parity-odd tensor-structures for the T T T and jjT correlation functions which are unique to three space-time dimensions. Let the parameters which determine the T T T correlation function be t 4 and α T , where α T is the parity-violating contribution. Similarly let the parameters which determine jjT correlation function be a 2 , and α J , where α J is the parity-violating contribution. We show that the parameters (t 4 , α T ) and (a 2 , α J ) are bounded to lie inside a disc at the origin of the t 4 -α T plane and the a 2 -α J plane respectively. We then show that large N Chern-Simons theories coupled to a fundamental fermion/boson lie on the circle which bounds these discs. The 't Hooft coupling determines the location of these theories on the boundary circles.