I do think that the breakability of flip out screens may be an internet thing. I've had a few now and have never had a breakage and I don't remember reading any instances on the net either. Whatever. Neither the TZ100 or LF1 have flip out screens and both have physical controls. The LF1 is a credit card footprint sort of thing whilst the TZ100 is bigger.
You'll have to have a think and decide exactly what you're looking for. If you want more physical controls than the TZ100 has you may have to look at something old, made of iron and from the early film era
Honestly though, any top end "compact" or compactish camera will have physical controls for shutter and aperture and perhaps exposure compensation and focusing too (but fly by wire for the latter as are many lenses these days.) I know the TZ100 has all of these things.
Another thing you could do, as this is GAS rather than an actual need, is get a cheap small MFT camera and mount a cheap film era manual lens on it. You can have a lot of fun with something like that.