How to install apps on Android device with no access to the Android Market

There are tons of great Android devices out there now, with more on the way. While many of these devices have the official Android Market on them from Google, quite a few (such as the new Kobo Vox) do not since they don't meet Google's Compatibility Requirements.  So what's an owner of one of these devices to do?  Have no fear; there are quite a few options available.

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Many of the devices that don't have the Android Market come with some type of third party market loaded on them, so a user has ...