We introduce new combinatorial models, called zigzag strip bundles, over quantum affine algebras Uq(Bn(1)), Uq(Dn(1)) and Uq(Dn+1(2)), and show that the sets of all zigzag strip bundles for Uq(Bn(1)), Uq(Dn(1)) and Uq(Dn+1(2)) realize the crystal bases B(∞) of Uq−(Bn(1)), Uq−(Dn(1)) and Uq−(Dn+1(2)), respectively. Further, we discuss the connection between zigzag strip bundle realization, Nakajima monomial realization, and polyhedral realization of the crystal B(∞).