Each year about 38,000 tourist visit Taiwan and there are no problems with most of them. Taiwan does have small-scale petty crime however there is very little violent crime. Like all countries worldwide drug trafficking is heavily dealt with. Note that advance fee fraud can also be a problem in Taiwan.
Local Laws and Customs
If you are going to Taiwan for more than 6 months then you are advised to obtain a proper visa. You may spend up to 90 days in Taiwan without a visa. You can then extend this by a further 90 days once you have entered Taiwan. Note that there are specific rules for BNO holders in Taiwan and you need to contact the Taipei Representative Office in London for more information. Note also that you need to have a prescription for any medication you bring into Taiwan. Taiwan does allow for UK Emergency Travel Documents for entry, airside transit and exit from Taiwan.
Taiwan has more than adequate health and dental facilities to handle routine, emergency and outpatient treatment. There has been outbreaks of Dengue Fever in the South of the country. If you are in Taiwan and need assistance then dial 119 and ask for an ambulance.