Re: I don't want a smart TV.
Why on earth they don't have a similar arrangement to the CAM sockets whereby you can just plug a "computer" into the TV to generate the image I don't know. ...and I'm talking a simple recessed area on the back, maybe with a cover or some such.
All a TV needs is the screen, a pretty housing, and the 'PC' bay. Your choice of TV would thus be the size, quality, and tech of the screen and the design of the housing...as for the connection, HDMI does control signals (and Displayport can carry USB), so some standardised control information from the TV's remote should be possible, or even better, have the remote controls using bluetooth, and then all you need is a receiver in the 'PC'.
The array of inputs you would want is a bit more tricky...but an arrangement similar to the ATX back panel could probably be found, depending on the design of the PC module, and would enable you to update the inputs (via a new computer module, perhaps, to keep things simple) as technology evolves. Of course, the TV housing could offer side or front breakout connections that simply plug into the ones on the back, but that would be a manufacturer option...
It's essentially how these things are manufactured anyway...it's the same screen in Bravias and Samsung TVs, it's just the electronics generating the picture (i.e. the "Bravia engine") that differs.