The density matrix renormalization group (DMRG) is primarily a 1D simulation method for quantum lattice systems which can also study 2D strips and ladders. Two recent advances greatly improve our ability to study ordering in 2D systems. I will discuss two systems of current interest: the triangular lattice Heisenberg model, a frustrated system where RVB and antiferromagnetic phases compete, and the doped t-J model, where stripes and d-wave superconductivity may coexist or compete.