A manifold $M$ is called Fano if its first Chern class $c_1(X)$ is positive. Equivalently, the anti-canonical bundle $-K_M$ is positive.
I know that good examples are the projective space and more generally the Grassmannian manifold.
Other than these two, are there any other "standard" examples of Fano manifolds that are well-known?
Thank you! Any help would be appreciated.