Does anyone around here remember DRIVING those carbureted, non-computer cars? Or worse, keeping them tuned up? I did both, along with major hotrodding, including engine swaps, camshaft swaps, carburetor swaps. Compared to the new cars they ran like cr*p. They barely started when it was cold or hot. They had weird idle and off-idle characteristics. They had very little power for the engine displacement. Worried about hackers shutting off your engine or brakes on your new car? -- well in the old days the cars did that all by themselves! Engines shutting down while driving -- yep, it happened, brakes failing while going down hills -- yep, it happened. Power steering fail while driving -- that happened, too. Those things happened with regularity. I recently helped with the purchase of a '68 Cougar with a small block V8 (302 CID) for a friend of mine -- upon driving it both of us said, "What a death machine" -- poor acceleration, poor braking, poor handling compared to the new cars we have (I'm driving a Honda Fit!). Yeah, everyone remembers the awesome big block muscle cars of the '60s, except they don't really remember them. I do, I had several. They were fun, but not very high performance compared to now. Check the magazine tests of the time.
If you want a decent car with no outside computer connectivity then your best bet is probably something from the mid-90's to around 2010, I would guess.