Examples for each group:
Neoconservative: John McCain, Lindsey Graham, Joe Lieberman?
Libertarian: Ron Paul, Rand Paul, Justin Amash, Gary Johnson
SoCon/Religious Right: Mike Huckabee, Rick Santorum
Paleoconservative: Pat Buchanan, Ross Perot, Donald Trump
Christian Democrat:
(No American examples that I can think of off the top of my head)
Economic/Free market Conservative: Seems to generally overlap with Libertarian, maybe Mitt Romney?
Marco Rubio: Free Market/Neocon mix
Ted Cruz: SoCon/Free Market mix
John Kasich: Christian Democrat?/Free market mix
George W. Bush: Neocon/SoCon mix