Some of what you want (the "listing" part, at least) can be done with TagList or TagBar but I'm afraid you are confusing Vim with an IDE.

Have you looked at Rope?

http://rope.sourceforge.net/ropevim.html

Features

Rope refactorings:

• Rename anything!
• Extract method/local variable
• Move class/function/module/package/method
• Inline method/local variable/parameter
• Restructuring (like converting "${a}.f(${b})" to "${b}.g(${a})" where "a: type=mymod.A")
• Introduce factory
• Change method signature
• Transform module to package
• Encapsulate field
• Replace method with method object
• And a few others...

Rope can:

• Extract similar statements in extract refactorings
• Fix imports when needed
• Preview refactorings
• Undo/redo refactorings
• Interrupt refactorings
• Perform cross-project refactorings
• Handle basic implicit interfaces in rename and change signature
• Support Mercurial, GIT, Darcs and SVN in refactorings

Rope can also help IDE's with:

• Auto-completion
• Finding definition location
• Getting pydoc
• Finding occurrences
• Organizing imports (removing unused and duplicate imports and sorting them)
• Generating python elements

http://rope.sourceforge.net/index.html