Chrome: Incognito mode in Chrome is great, but one downside is the fact Chrome doesn't keep any kind of history when you're using it. That's great most of the time, but sometimes you do want that history. Off the Record History creates a temporary history file in incognito mode for just those reasons.
Off the Record History essentially creates a short-term history file that self-destructs when you close the browser. This works for your history as well as recently closed tabs. If you tend to use incognito mode a lot, or if you have guests use it when they use your computer, Off the Record History is super useful to have installed.
It does take a couple extra steps to set up so it works in Incognito mode, so be sure to look at the instructions on the extension's page.