There are a couple of options when it comes to visiting the city from the airport; limousine buses, trains and taxis. Kansai International Airport (KIX) has all these options available (KIX is the airport people tend to use to visit Kyoto).
Unless a tremendous amount of money is saved on the transportation, taking a taxi for more than an hour is usually not an ideal solution. However, this is changing.
As the post “Use Taxi from Kansai Airport to Kyoto” explains, now travelers can take/share a taxi with other travelers for a reasonable fixed price (3500 yen) no matter how long it takes to the destination. Although it is a micro bus style, it is still a taxi. Which means they will take you directly to the hotel.
In addition to these two benefits, now there is another reason to use this service. The passengers can now use WiFi for free on the way to the hotel or airport. Yasaka Taxi, who operates the airport taxi, decided to provide WiFi service based on customer demand. Using the Internet can be useful in case it is impossible to sleep from jet lag, for example, sending e-mails to family or friends, collecting information and posting a Facebook update can be done from the taxi.
If this sounds attractive, check this page and make a reservation.