It’s a big headache to get off the data from a Samsung Galaxy S4 of dead screen. Although you can copy off the files saved on the SD card at ease, how about the files in your phone? You can’t respond on the phone when connect it to computer.
As long as the Volume, Home and Power button is ok, you can enter download mode to get off your data easily with Dr.Fone for Android.
youtube.com/watch?v=-reghFAN40o