[Math] Books in advanced differential topology

dg.differential-geometrydifferential-topologygt.geometric-topologytextbook-recommendation

I am looking for books or other sources in differential topology that include topics like: vector bundles, fibration, cobordism, and other related topics.
In general, if anyone has recommendation of books of advanced differential topology I would like to hear (I've already read Bott&TU, Warner).
Thanks!

Best Answer

"Morse theory" by Milnor.

"Lectures on the h-cobordism theorem" by Milnor

"Characteristic classes" by Milnor and Stasheff.

"Topological methods in algebraic geometry" by Hirzebruch

"Fiber bundles" Husemoller (not differential topology per se, but discusses many topics in your question)