As far as I know, there definitely isn't one compatible with the Verizon Wireless network. There were a couple of overseas models, but whether or not they will work on any USA carrier.
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Let’s find a phone that will fit your needs humbleton. From reviewing our current inventory of phones, we don’t have a flip phone with Apple or Android apps. Is there any reason you like the flip feature? Would a flip style case work instead? Here’s a couple links of the many wallet style cases. http://vz.to/24CODyt and http://vz.to/24zDP7y
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Only in the Korean market, and those don't work on a variety of networks fully in the USA.