Hmm... Newton's laws are fantastic and not limited to 2-dimensions. They still today work at the every day level. Special and general relativity only come into play once we start getting to decent speeds of a decent fraction of the speed of light or over long long periods of time. ROCKET SCIENCE mainly used newton...
PS I'm an English teacher now, but I was trained as an astrophysicist.
PPS The 'big theories' didn't replace each other as in: the old theory was proved wrong, but actually incorporated the old one. Special relativity equations when solved for low speeds are equivalent to newtons equations. General relativiy equations when solved for zero accelerations give special relativity. It isn't quite the 'well the old one was wrong' that some people think. The old one was right (and still is) but we now know under other conditions we needed to modify, not replace the old theory.
Relativity totally replaced the pre-existing Aether models. Its been tweeked a good bit sure, and will keep being updated until it is replaced as we outgrow it. Chief offender for me is the Light constant, but thats just a pet peeve.
Its all about what sustqins the dimension for me. Einsteins timespacce model neatly avoids this, and to me is the worst part of his work. I dontbellieve relativity will survive this century, but then im an optomist