The book and paper listed below will be useful

1. Mackenzie K C H -General theory of Lie groupoids and Lie algebroids.

2. Notes on Vector bundles ; Aleskey Zinger March 2010.

For Vector bundles

1- The book “Characteristic Classes” by J. Milnor & J. Stasheff, Princeton Univ. Press, 1974 (check CH 2, page 13).

2- Lectures on vector bundles. Cambridge University Press, by Le Potier, J. 1997.

For Tours bundles

Notes on Basic 3-Manifold Topology by Allen Hatcher have a detailed classification of torus bundles over S^1 (check Ch 2, Section 2)

For Stable bundle

Lectures on Vector Bundles by J. Le Potier, Cambridge Univ. Press, 1997 might help you too.