Black Widows
Black widow spiders, which are found throughout much of the world, live in Thailand. They're the only spiders mentioned in the "Animal/Marine Hazards" section of Travel Medicine's Thailand entry. Their bites can be extremely painful but are rarely fatal, especially for healthy adults.
Tarantulas
Thailand is home to several species of tarantula, most notably the Thailand black tarantula (Haplopelma minax). According to "Thailand Black Tarantula (Haplopelma minax) Care in Captivity" by Todd Gearheart on the Tarantula's Burrow website, these spiders are more aggressive and have a worse bite than most American species. Their venom can cause pain and irritation but usually isn't dangerous.
Orb Weavers
A variety of orb weavers live in Thailand, including golden orb weavers, which often seem menacing because of their large size (females' bodies grow up to four centimeters long). However, according to "Orb Weaver Spiders" on the Animal Corner website, these spiders are timid and rarely bite. Their venom is relatively mild.