You can double-click the profile tab in Tweetbot for Mac to open your recent tweets in Favstar, a fun service that tracks things like favorites and retweet counts.
Note: Tweetbot for Mac is an alpha right now, so features are missing and others are broken.
This also works in Tweetbot for iPhone and iPad; double-tap the profile tab to open an in-app browser to your page on Favstar.
Update: Good reminder from Chris Herbert: you can also double-click the DM tab to get a “mark all as read” prompt.