Anchored cardiovascular valves (40) having a support member (10) of remodelable decellularized ECM material with at least one leaflet (30) formed therein that is sized and configured to selectively restrict regurgitating blood through the valve (11, 40, 50, 60, 70), and at least one anchoring mechanism (20A, 20B, 42A, 42B, 52A, 52B, 62A, 62, 65, 67). In a preferred embodiment of the invention, the anchored valves (50) have two anchoring mechanisms (20A, 42A, 52A, 62A), i.e. proximal and distal anchoring mechanisms (20A, 42A, 52A, 62A).