Number 1: Gambling Ferry Cruises To Japan
Special cruises run over night trips that take you out to sea into Japanese waters and returning the next morning. This essentially takes you out of Taiwan so you can re-enter on a new visitors visa stay. These cruises tend to be gambling cruises and a majority of the passengers will be Taiwanese looking to head out to sea in search of big winnings at the Mahjong table. Expect everything else on the cruise to cost money, from meals to water bottles, as the door price (that can be as low as $120 USD) will get you only the very basics, or in other words, you get what you pay for.
The liner to check out here is Star Cruises (www.Starcruises.com.tw) and especially their Taiwan Libra Super Star cruise that departs every Saturday night.
Number 2: Day in Paradise, The Philippines
These flights have a departure time of around 1 a.m. and arrive in Manila around 4 a.m., so it can be a tough schedule for some to make. On the other hand, if you can stay up, it could end up saving you big bucks as some of the round trip flights can cost as little as $60 USD.
The airline companies to check out are Cebu Pacific Air (www.CebuPacificAir.com) and Air Asia (www.AirAsia.com), with destinations of Manila and Clark Airport (Angeles City). The Philippines is also a very cheap country to travel in, so if you are planning on squeezing in a mini-vacation while taking care of the official visa business, this can be a great choice to keep the budget tight and get some traveling in at the same time.
Number 3: The Hong Kong Day Run
For flights, just about every major Asian airline runs them direct from Taipei to Hong Kong international including Cathay Pacific, China Airlines, and Eva air. The best fares we've found are mid week, mid afternoon flights, and some of the worst flying out on Friday afternoon/evenings and back on Sundays, as this is prime time for the weekend getaway-ers to head to Hong Kong for some high life entertainment. The upside to this route being so popular is that there is always a seat available on a plane somewhere, so last-minute-ditch-all and procrastinators, this is going to be the option for you.
Number 4: Busan, Korea Business Express
To search for flights check them out directly at www.AirBusan.com. Although the search system is a bit crude, and will pop up with a no-frills 'No seats available on selected dates' warning, it can lead you into huge savings with some patience and by searching as many dates as you can.
Number 5: Get a Job
The easiest way to go about this and keep as much if your free time as possible is to teach English. There are ton's of afterschool 'cram' schools that are looking for foreign English teachers that pay anywhere from $18 - $25 USD per hour and provide very relaxed schedules that will have you only working a few hours a day. These schools will be able to help you convert your visa into a yearlong alien residency card so your renewal problems will be a thing of the past, and as a bonus you can earn some extra cash on the side. Keep in mind however; you must have a bachelor's degree from university in order to qualify for this option, as the government requires it for all foreign teachers.
Check out a few websites such as tealit.com, hess.com.tw, and davesesl.com to search around for job current listings and positions.