Designated as a State Sponsor of Terrorism in 1982, the Government of Cuba maintained a public stance against terrorism and terrorist financing in 2010, but there was no evidence that it had severed ties with elements from the Revolutionary Armed Forces of Colombia (FARC) and recent media reports indicate some current and former members of the Basque Fatherland and Liberty (ETA) continue to reside in Cuba. Available information suggested that the Cuban government maintained limited contact with FARC members, but there was no evidence of direct financial or ongoing material support. In March, the Cuban government allowed Spanish Police to travel to Cuba to confirm the presence of suspected ETA members*.
Cuba continued to denounce U.S. counterterrorism efforts throughout the world, portraying them as a pretext to extend U.S. influence and power.
I wonder if the last statement is the main reason they’re kept on it, because they don’t agree with the US counterterrorism effort. With the designation, sanctions follow, including “Prohibitions on economic assistance” and “Imposition of miscellaneous financial and other restrictions.” It seems the US just isn’t ready to lift its embargo and an easy way to keep it intact is to keep them on the terrorism list. The language is weak. What exactly are “elements” from the FARC? And what is the context of these “current and former members” of the ETA living in Cuba?
And guess who’s no longer on the list? North Korea. Figure that one out.
When I cycled around Cuba for five weeks in 2010, all I met were the nicest of human beings, constantly offering what little was to be offered. It’s time the Cubans had a break. 
*bolding added