Nike was analog. (I've seen the ground-based analog computers at Site SF-51 in Marin). Atlas was digital, but in the early models the guidance computer was on the ground, with the ground sending commands to the booster during boost phase. [1] Navajo seems to have been the first missile with onboard digital computing. Polaris was self-contained and digital; it had to be, since the sub had no uplink. Missiles showed steady forward progress.
Apollo had to solve many technical problems, but often specialized ones, such as how to handle liquid hydrogen in bulk and how to get stable combustion in a big engine.
A major criticism of Apollo is that it produced too much specialized technology that was never used again.
The Space Shuttle had a different set of problems. It was supposed to be a practical space transport, but only the orbiter was re-usable and it needed a months-long major overhaul after each flight. Not until the Falcon 9 did something cost-effective finally get built.
[1] https://siarchives.si.edu/collections/siris_arc_402577