I will discuss novel topological phases beyond the well known topological insulators of free fermions. These include Weyl semimetals, which may be considered topological semi-metals since they exhibit 'Fermi arc' surface states and an unusual electromagnetic response. Possible materials realizations will be also be proposed. Next, I will talk about recent theoretical breakthroughs in identifying two and three dimensional topological phases that only appear in interacting systems, but which are dclose analogs of free fermion topological insulators. Realizations in bosonic or spin systems will be discussed, along with prospects for dcreating such states in cold atom systems.