I have a Synology NAS drive. Synology has apps that play all my media on basically any device... tablets, smartphones, computers, roku box. i have 5 tvs in my house all connected to my NAS by roku.

i recommend: https://www.synology.com/en-us/products/DS214play

i don't have this one, but i'm planning on upgrading to that soon.

you can stream audio, movies, and pictures. you can also record live tv. you can access your media outside your home network if traveling.

the set up is a bit of work, and it's not cheap. but once set up it's perfect.

i know you said you didn't want to stream over your network but i think that's ideal for being able to playback on the most devices.