this is a hard comparison cause they are both such great movies and stories. the fact that they are from different genres is completely moot. they are both movies telling a story expressed in three films and some exteneded media(i.e. books, comics, dvds with extra info). when you compare the first film from both trilogies, matrix spanks lotr hardcore, BUT the strength of the lotr sequals is far superior to those of the matrix. reloaded and two towers are close in comparison(they were both kinda weak w/tt sucking less) but rotk kicks the everliving crap out of revolutions in length and quality.
overall winner;
lotr
i love myself
octapushunter