SnapBird

This is great. Multiple times I've downloaded a zip of my entire Twitter archive to search for something I tweeted several months ago.

Snap bird

Easily search deep into your/your friends timeline, favorites, etc...

Firstly, thanks for hunting snapbird (I'm the author) some 3 years ago…sorry, bit late to the scene :) The app has had a bit of an overhaul particularly for mobile support. It's now fully responsive, particularly useful for mobile, but also includes all twitter entities like photos and videos.