Here is the list of president-parliamentary and premier-presidential regimes that I am currently working with (as of 29 March 2016).
These terms were first defined by Matthew Shugart and John Carey in Presidents and Assemblies. Constitutional Design and Electoral Dynamics (Cambridge: Cambridge University Press, 1992).
The distinction between the two terms can be expressed as follows:
President-parliamentarism is a form of semi-presidentialism where the prime minister and cabinet are collectively responsible to both the legislature and the president.
Premier-presidentialism is a form of semi-presidentialism where the prime minister and cabinet are collectively responsible solely to the legislature.
If there are any classification errors, then do please let me know:
Current president-parliamentary countries:
Austria, Azerbaijan, Belarus, Burkina Faso (1991-), Cameroon, Congo (Republic of), Gabon, Iceland, Madagascar (2010-), Mauritania (2009-), Mozambique, Namibia, Peru, Russia, Rwanda, Senegal (2001-), Sri Lanka, Syria, Taiwan, Tanzania, Togo
Current premier-presidential countries:
Algeria, Armenia (2005-), Bulgaria, Cabo Verde, Chad, Croatia (2001-), Czech Republic, Dem. Rep. of Congo, Egypt (2014-), Finland, France, Georgia (2013-), Haiti, Ireland, Kyrgyzstan, Lithuania, Macedonia, Mali (2012-), Moldova, Mongolia, Montenegro, Niger, Poland, Portugal (1983-), Romania, São Tomé e Príncipe (2003-), Serbia, Slovakia, Slovenia, Timor-Leste, Tunisia, Turkey, Ukraine (2014-)
There are countries that are no longer semi-presidential or which are currently semi-presidential but which have changed their form of semi-presidentialism over time. These cases are captured in the following lists.
Historic cases of president-parliamentarism:
Angola, Armenia (1995-2005), Burkina Faso (1978-1983), Burundi, Central African Republic, Comoros, Croatia (1991-2000), Cuba, Egypt (2007-2011), Georgia (2004-2013), Germany (Weimar Republic), Guinea-Bissau, (1993-2012), Kyrgyzstan, Madagascar (1996-2009), Mauritania (2006-2008), Portugal (1976-1982), São Tomé e Príncipe (1990-2002), Senegal (1970-1983), South Vietnam, Tunisia, Ukraine (1996-2006, 2011-2014), Yemen (1994-2011)
Historic cases of premier-presidentialism:
Burkina Faso (1970-1974), Congo-Brazzaville, Egypt (2012-2013), Kenya, Madagascar (1992-1995), Mali (1992-2012), Mauritania (1991-2005), Moldova, Senegal (1991-2000), Ukraine (2007-2010)