If you get this error when executing the binary via terminal:
./epsxe_x64: error while loading shared libraries: libSDL_ttf-2.0.so.0: cannot open shared object file: No such file or directory
Fix:
sudo apt-get install libsdl-ttf2.0-0
Tested and works on Ubuntu 16.04.2 LTS.
Other deps were already met if not you may need to grab them too:
sudo apt-get install libsdl-image1.2
sudo apt-get install libgtk2.0-0
On Linuxmint 19.2 you also need to install the package libcurl3