Find ALL tweets from a user (not just the first 3,200)

You can use twitter search page to bypass 3,200 limit. However you have to scroll down many times in the search results page. For example, I searched tweets from @beyinsiz_adam. This is the link of search results: https://twitter.com/search?q=from%3Abeyinsiz_adam&src=typd&f=realtime

Now in order to scroll down many times, you can use the following javascript code.

    var myVar=setInterval(function(){myTimer()},1000);
    function myTimer() {
        window.scrollTo(0,document.body.scrollHeight);
    }

Just run it in the FireBug console. And wait some time to load all tweets.

The only way to see more is to start saving them before the user's tweet count hits 3200. Services which show more than 3200 tweets have saved them in their own dbs. There's currently no way to get more than that through any Twitter API.

http://www.quora.com/Is-there-a-way-to-get-more-than-3200-tweets-from-a-twitter-user-using-Twitters-API-or-scraping

https://dev.twitter.com/discussions/276

Note from that second link: "…the 3,200 limit is for browsing the timeline only. Tweets can always be requested by their ID using the GET statuses/show/:id method."

http://greptweet.com/ is an attempt to surpass the 3200 limit by backing up tweets, and besides that is useful for simple searches.