Not sure I see how you can't mount a laptop in the corner "away from sight". Just like all the other small form factor NUCS, you will need a keyboard and a mouse(or equivalents).
There is also the Gigabyte Briks. I've got one of them from a few years ago that had an integrated projector.
That lenovo is six or more generations old(ivy Bridge). You also don't need a ton of "power" to play movies. A non-core Intel will work fine; my movie player is a Pentium. Specs are:
NUC5PGYHOAJ - Pentium N3700 - 4 core @1.6Ghz. Added 8GB RAM. No issues playing movies. Five year old processor.
https://ark.intel.com/content/www/us/en/ark/products/88065/intel-nuc-kit-nuc5pgyh.html
If you have the option, find one with a "large" case that will allow a full height 2.5" drive. Many do not offer this.
I will say the above will have issues doing any hefty web browsing especially in default 2GB RAM mode... after about the third tab, it gets into a page swapping nightmare.