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"Orbiter" might be what you're looking for. It's less "game" and more "sim". There are computerized aids for most things, but you don't have to use them. You might find that rather challenging, though - even 1960s astronauts had electronic computers!

Bonus - it's free. I've burned a lot of hours in Orbiter.

http://orbit.medphys.ucl.ac.uk/

https://en.wikipedia.org/wiki/Orbiter_(simulator)

You can also use the kOS mod for KSP and restrict yourself to only flying spacecraft for which you've written the control logic by hand :)