Is there any comprehensive list of examples for computed

1) de-Rham cohomology-groups

2) Lie-algebra-cohomology groups $H^i(\mathfrak{g},\mathbb{R})$

3) equivariant de-Rham cohomology groups ?

Especially I am interested in a comprehensive list of examples (or classes of examples) of

a) manifolds with vanishing first and second de-Rham-cohomology

b) lie-algebras with vanishing first and second lie-algebra-cohomology