Operating system and graphics card
Broken: (example: 2.69.7 4b206af, see splash screen)
Short description of error
Depending on the cursor location, the snapping points changed unpredictably (to me at least).
Exact steps for others to reproduce the error
Based on a (as simple as possible) attached .blend file with minimum amount of steps
move the object, or switch to edit mode and move a vertex... change the cursor location and do it again