A combination of fixed salary, paid leave, and bonuses can be a little more difficult to come by, but its certainly not impossible to find. If you have a teaching degree from your home country, it’s actually really easy to come by. If so, check the public schools in Taiwan and some of the more well known private school (e.g. Wego, Kang Chiao, etc.). Some of them don’t have great reputations, but management at a lot of them changes relatively quickly, so I wouldn’t write off anywhere just based on reputation.
If you don’t have a teaching degree, I would suggest avoiding the big chains (e.g. HESS, Giraffe, etc.) and looking for smaller but well established buxibans. Start by choosing an area you want to work in and asking people there if they know of any schools that are popular. Approach the school directly with a good resume and dress nicely. That has generally worked well for people I know.
Another option if you don’t have a teaching degree is to look to see if any of the well established private schools are opening new locations. Usually, when they do so, they have such a need for teachers that they will overlook qualifications if you have experience. For example, when Kang Chiao opened a new campus in Linkou, they needed to hire something like 30 foreign teachers in less than a semester. Most places simply won’t get that number of highly qualified applicants.
Those would be my suggestions. Hope it helps.