Here is a quick reckoner full of equations for moments of inertia of various bodies of various shapes.
Here is a List of equations that are available in the diagram (figure 1 above).
You will get Moment of Inertia equations for
(a) Slender rod with the axis through center
(2) Slender rod axis through one end
(3) rectangular plate axis through center
(4) Thin rectangular plate axis along edge
(5) Hollow cylinder
(6) Solid cylinder
(7) Thin-walled hollow cylinder
(8) Solid sphere
(9) Thin-walled hollow sphere.