Interbank FX offers a "No-Interest/No Swaps account" Forex trading account, though offers no credentials of any Shariah supervisory board which has approved the account as Shariah compatible.
According to its website, Interbank FX, LLC is a provider of online off exchange retail Forex trading services, offering individual traders, fund managers and institutional customers proprietary technology and tools to trade Forex online.
Headquartered in Salt Lake City, UT, USA, Interbank FX serves more than 30,000 clients from more than 140 countries and supports trading volume in excess of US $80 billion per month. The company is regulated as a Forex Dealer Member by the National Futures Association (NFA) and is also registered with the Commodity Futures Trading Commission as a Futures Commission Merchant (CFTC).
More information at: http://www.ibfx.com/Trade/NoSwapAccounts.aspx