SMPlayer is a trimmed down media player that uses the playback engine of MPlayer and includes built-in codecs. Available for 32-Bit.
It will remember the settings of all the files you play; this allows you to leave, and the movie will resume precisely at the spot where you left it when you're ready to start watching again - no searching. You have the most popular formats and codecs supported, including AVI, mp4, MKV, MPEG, MOV, DivX, H.264, and more. A full list can be found on the author's site.
SMPlayer also includes YouTube support, numerous video and audio filters, a complete preference dialog, and a thumbnail generator. There is also a video equalizer, multi-speed playback, audio and subtitles delay adjustment along with the ability to search and download subtitles from opensubtitles.org, and multiple skins to choose from if you want to change up the look.