After each legislative session, the House Research Organization (HRO), the Senate Research Center (SRC), and the Texas Legislative Council (TLC) publish overviews of the session's accomplishments. These reports provide summaries of enrolled bills and analysis of major legislation. All three are now available for the 82nd Legislature, Regular Session and First Called Session: 

Each overview is organized by topic and gives a unique look at the session. The SRC overview provides brief summaries of all enrolled bills. The TLC overview offers summaries of all enrolled legislation and also includes effective dates and veto statements. The HRO overview focuses on legislation on major topics, including bills that did not pass, and contains extensive analysis and statements by supporters and opponents.  

If you're looking for information on previous sessions, overviews for the 53rd-81st Legislatures can be found at the Legislative Reference Library's Session Summaries page.