In case you’re interested, Dale maintains a searchable archive of all my Twitter messages going back to March 2012, when I first started. If that seems recent, that’s correct – I was skeptical of the platform for many years, but now use it every day.
They can be found at http://twitter.yuzuki.org Have fun!
You can download the past 3200 (or so) of your tweets from Twitter here.
If you have more than 3200 unfortunately there isn’t a way to get older ones. I use this tool to setup my own archive as a WordPress blog, and then just run a simple cron job via cPanel on the half-hour.