There are 16 Congressional districts in which the population is between 50 and 65 percent Hispanic, according to the the American Community Survey (2018). Seven are located in California, two each in New Mexico, New York, Texas, and Arizona, and one in New Jersey.
Only one of these, Texas' 27th District, is represented in the 116th Congress by a Republican, and only two lean Republican with respect to Cook PVI, the other aside from TX-27 (R+13) being New Mexico's 1st District (R+5).
The details of the other districts are below.
State,District,Total Pop,Hispanic Pop,Hispanic (%),Rep Party,CPVI