Visual Studio 2010 shortcut to find classes and methods?

Try Alt+F12 in Visual Studio 2010.

It opens up the Find Symbol dialogue which allows you to search for methods, classes, etc.

Visual Studio 2010 has the "Navigate To" command, which might be what you are looking for. The default keyboard shortcut is CTRL + ,. Here is an overview of some of the options for navigating in Visual Studio 2010.

Use the "Go To Find Combo Box" with the ">of" command. CTRL+/ or CTRL+D are the standard hotkeys.

For example, go to the combo box (CTRL+/) and type: >of MyClassName. As you type, intellisense will refine the options in the dropdown.

In my experience, this is faster than Navigate To and doesn't bring up another dialog to deal with. Also, this combo box has a lot of other nifty little shortcut commands:

Using the Go To Find Combo Box

This textbox used to be the default on the Standard toolbar in Visual Studio. It was removed in Visual Studio 2012, so you have to add it back using menu Tools → Customize. The hotkeys may have changed too: I'm not sure since mine are all customized.

Ctrl+T in Visual Studio 2017.