How do I view my clipboard history on OS X?

There's a multitude of applications that do this, but no built-in one.

FlyCut, an open source fork of Jumpcut

1. Jumpcut
   • Open source and free.
   • Even simpler.
   • Install via: brew install --cask jumpcut.
2. Flycut (Mac App Store link)
   • A fork of Jumpcut with a few added features
   • Free in the Mac App Store
   • Install via: brew cask install flycut.
3. Copy 'em Paste
   • A paid, but simpler and cheaper alternative. Tries to exactly one thing well.
4. Alfred Powerpack
   • Another paid alternative, with great clipboard history management as part of its pack. See Dan Udeys answer.
5. Clyppan
   • Used to be open source, then closed source and available in the Mac App Store (for approx. £2), but is now no longer available for download.
   • Simple.

I realise that the question has been answered, but here is another recommendation for a clipboard history manager:

ClipMenu

Menubar item:

Hovering menu (hotkey):

Apart from the menubar and floating window, it also has customisable 'actions' that allow you to manipulate text as you paste it (e.g., uppercase everything), and support for snippets to hold commonly pasted text.

In my experiences it is easily the best of the simple clipboard managers.

The best I've found is Alfred, which has a phenomenal clipboard history functionality as part of its ($15) Powerpack. Among its features:

1. Clearing history by time (e.g. 'keep only 7 days')
2. Ignore apps (so text copied from Keychain, 1password, etc. isn't saved to the history)
3. Snippets (for commonly pasted text)
4. Clipboard merging (merge the current clipboard item with the previous)
5. Max clipboard size (up to 'unlimited')

I bought it for other reasons, but I use the clipboard history every few minutes throughout my day, so for $15 it was a pretty big win.