We discuss the prospects for new, flavourful physics within reach of the Tevatron and LHC, focussing on the compatibility with the many existing constraints. Given only a broad, theoretically-plausible flavour structure for their couplings, we identify several possible new states that are particularly immune to the constraints. They may have sizeable couplings to light or heavy quarks and can, for example, provide a flavour-safe interpretation of the asymmetry in top quark production observed at the Tevatron. We thereby motivate searches for the new states at the Tevatron and LHC, and argue that their discovery represents one of our best chances for new insight into the Flavour Puzzle of the Standard Model.
