A multi-intervention blowout preventer includes a body having a bore therethrough. A first pair of ram blocks may be coupled to the body and include a ram, a catcher, and a blade operationally connected to the bore via a first pair of openings in the body. The ram, the catcher, and the blade may cut a flexible line extending through the bore while holding the flexible line. A second pair of ram blocks may be coupled to the body and include a second pair of rams operationally connected to the bore via a second pair of openings in the body to seal around a tubular. A third pair of ram blocks may be coupled to the body and include a third pair of rams operationally connected to the bore via a third pair of openings in the body to seal the bore.