I recommend going to a little pet store and asking there for a hamster. I had one before and she did not bite. I think her breed was Dwarf Winter White Russian Hamsters. this is something that I found about them.
Dwarf Winter White Russian Hamsters (Phodopus sungorus)
Dwarf Winter White Russian hamsters are similar in behavior to Dwarf Campbell Russians in that they are active during the day and can be kept in same sex pairs or groups. However, they do not have the reputation for biting when nervous, and they are generally very sweet and personable. They are very small and quick though, so they can be a challenge for young children to handle safely.
Dwarf Winter White Russians come in three colors: Sapphire, Pearl, and a combination of the two called Sapphire-Pearl. Pearl is a white pattern where white hairs are sprinkled throughout the coat, and Sapphire is a purple-gray color. Sapphire Winter White Russians have a gray undercoat, a thick gray stripe along their spines, and an ivory colored stomach.
Dwarf Winter White Russians are very small and compact, measuring only 3-1/2" to 4" as full grown adults. Because they are so tiny, an aquarium is generally a safer housing choice than a wire cage. The average life span of a Dwarf Winter White Russian hamster is about 2 years.