If you mouse over the relevant badge, a popup will appear that tells you how far you have left to the next level. You can also scroll down the the bottom of the page and click "Badge Information" for a table of the same information.
That said, a few badges (D/T, 360, etc) have dedicated tools to help find what you need. For others, no tool is needed (you don't need a tool to find which X traditional you need to log to level up your traditional badge...).