We analyze rare charm baryon decays within the standard model and beyond. We identify all null test observables in unpolarized Λ c → p + − , = e, µ decays, and study the new physics sensitivities. We find that the longitudinal dilepton polarization fraction F L is sensitive to electromagnetic dipole couplings C ( ) 7 , and to the right-handed 4-fermion vector coupling C 9 . The forward-backward asymmetry, A FB , due to the GIM-suppression a standard model null test already, probes the left-handed axialvector 4-fermion coupling C 10 ; its CP-asymmetry, A CP FB , probes CP-violating phases in C 10 . Physics beyond the standard model can induce branching ratios of dineutrino modes Λ c → pν ν up to a few times 10 −5 , and one order of magnitude smaller if lepton flavor universality is assumed, while standard model rates are negligible. Charged lepton flavor violation allows for striking signals into e ± µ ∓ final states, up to 10 −6 branching ratios model-independently, and up to order 10 −8 in leptoquark models. Related three-body baryon decays Ξ c → Σ , Ξ c → Λ and Ω c → Ξ offer similar opportunities to test the standard model with |∆c| = |∆u| = 1 transitions.