South Africa skips the visa entirely for US, UK, and EU passports, giving 90 days visa-free, but there's no visa on arrival for anyone else, only e-visa or embassy routes.
Czechia's 90-day Schengen allowance is shared across 29 countries, not reset by hopping borders, and the EU's Entry/Exit System is now scanning fingerprints at first crossing instead of stamping passports.
Taiwan's 90-day exemption covers US, UK, and most EU passports, but you still have to file the free TWAC arrival card before Taoyuan immigration will wave you through.