The Center for Latin American, Caribbean, and Latino Studies at the CUNY Graduate Center has run a project since 2003 focusing on producing statistical reports on a variety of topics concerning Latinx communities. The over 60 reports include topics such as gentrification and the South Bronx and voter registration rates among FL Puerto Ricans since the 2016 election. Find the entire Latino Data Project here.
The Pew Research Center also has hundreds of reports in their Hispanics/Latinos section, and upon searching you can find Caribbean related statistics. Additionally, the Latin American Data Bank at Cornell University’s Roper Center for Public Opinion Research has an interactive data map to explore public opinion research based on country.