Most Filipinos in Taiwan find work either as carers (for older/disabled people) or in factory jobs. The latter requires that you have a degree, preferably in a relevant subject (say, electronics or mech engineering).
The Taiwan gov't heavily restricts access to jobs in favour of the locals (as does the Philippines, of course), which basically means the only jobs available are the ones that Taiwanese people can't or won't do. In the case of unskilled labour, that means taking old people out for walkies. At the skilled end, it means either having specific abilities that are hard-to-find in Taiwan (that includes manual dexterity - for some reason, Taiwanese people are afraid of anything that doesn't involve sitting at a desk).