In the previous works on N=1 lagrangians for Argyres-Douglas (AD)theories, SUSY enhancing lagrangians for (A_1, A_k) and (A_1, D_k) type AD theories were discovered. However, the set of generalized AD theories is much larger than this. In my talk, I will present 5 new classes of N=1 Lagrangians that flow to fixed points described by generalized AD theories, thereby vastly generalizing our previous work.