Is there any music player program that supports lyric (LRC) files painlessly?
not entirely native, but foobar2000 might be useful for you. it's a great music player that can be customized with many extensions (or components) and this one can handle .lrc files without problems. you can load the lyrics from your disk or search for them online automatically when playing a song.
I've recently made an extension for VLC for this purpose (it still has some limitations and bugs, but it works).