B's Wine Bar Share: Wine Bar B's Wine Bar Visit Website 8770 HWY 6, Ste. 300 Missouri City, Tx 77459 514-WINE-BAR About Map About B's Wine Bar located in Sienna is a full service bar that will also serve lite bites, which will appeal to after work clientele from surrounding areas. Setting the atmosphere with local jazz artist . What's Nearby? Distance: 5 10 15 20 25 50 mi.