I would send you up to Line Thai on 99th & Bell. Their pad kraphao is really good, as are their plantain fritters and coconut ice cream. Nice restaurant on the Sun City border, very gracious service.
There are good sushi options if you head west to Litchfield Park. Blu Sushi in the park itself, on Old Litchfield Road, and Nakama on Thomas & Dysart. Nakama carries the real wasabi, but you have to ask, "do you have the 'special' wasabi?" and they will wink and make sure you get some.
It's the southwest portion of the metro area that is largely barren of those cuisines, although there may be an exception or two I'm not aware of. Your best bet might be to head up the 101 Freeway into Glendale. There, you'll find some good options. I particularly like Siam and Siamese Kitchen for Thai.
Siam Thai Cuisine
5008 W Northern Ave # 1, Glendale, AZ
4352 W Olive Ave, Glendale, AZ 85302