Is 各式各样 Taiwanese version of 各种各样?
One crude method for testing Taiwanse vs. Chinese usage is by running a verbatim

site:.cn
site:.tw

Google query.

Here are some results:
各式各样 site:.tw about 761’000 results
各式各样 site:.cn about 24’100’000 results
but maybe Google isn't good with sc vs. tc:
各式各樣 site:.tw about 12’300’000 results
各式各樣 site:.cn about 315’000 results
There doesn't seem to be much of a difference in usage amounts overall.