Can't really say I have three, it's more of a four way tie for me between:
Ragtime
Waltz
Pseudo-Medieval (that's a very vague category, I know)
"New age" (though much more specifically a certain type generally common among East Asian and particularly Japanese artists that tends to have clear melodies in contrast to the general minimalist styles of New Age in general)
Occasionally there are video game soundtracks and world music I like.
In general, though, I don't like most genres people would consider mainstream or normal enough, or even genres that are not considered mainstream but still considered modern. Particularly, if it has lyrics and is a contemporary song, 99.999% I won't like it. This is a bit of a problem because people then automatically assume I like classical, but I (usually) find classical as boring as rap/rock/hip hop/techno/K-pop and J-pop/etc.
