Clinton was much more a libertarian than Reagan ever was.
But of the post-Civil war presidents only Cleveland, and possibly Harding and Coolidge (and then not on foreign policy) would count as libertarians.
Didn't Cleveland's economic policies cause some kinda "Great Depression"?
Depends on which economist you talk to. But "The Great Panic" began in 1893, only at the start of Cleveland's Second term which pretty much ended the non-stop growth of the post-civil war period.. where the Republicans had been in power for all but Cleveland's first term (and Andrew Johnston, if he counts). To blame, GC alone for it would be ridiculous. That isn't of course to say his policies weren't a factor, in the same way Coolidge's policies might have been responsible on some level for the great depression.