Ok so I watch a lot of TV and majority of these aren't even couples but I ship them religously ( I am going to go by day of week that I watch new episode starting with Monday)

• Grey and Layla -The Border (a Canadian TV show)
• Calleigh and Eric- CSI Miami
• Tony and Ziva-NCIS
• Abby and McGee-NCIS
• Gibbs and Jenn -NCIS (though Jenny is now dead :()