It's your tv's problem. Nothing to do with LE.
You have to set up your tv for every resolution and fps. Your LE GUI is 1080p60 but if you play a movie it will change the video signal according to the movie's resolution and fps. So start the movie and play with your tv's aspect ratio settings.
Simply change yout TV settings to Best Fit (Samsung option maybe different naming on other makes) and it will automaticlaly match to whatever device you have plugged in so devices can all stay opn the preferable default settings without cropping needed. Note you cannot change and save TV settings in Dynamic and Movie picture modes so I use Standard mode and adjust all the settings to get as near perfect a picture as I can using all the settings like Contrast, Brightness, Darkness, Backlighting etc. My standard mode set with aspect as Best Fit is now as perfect for me as I need, more vivid like Dynamic mode but without being over the top as the default Dynamic mode usually is. Most of these settings are of course subjective.
But important to remember that it will not retain the picture option of Best Fit in Dynamic and Movies modes, well that is for all Samsung LED TVs I have configured.