The 7753 is still around, though as ETA appears to have closed down sales of its classic movement range to anyone outside the Swatch group, you can't buy it any more. It's only used by its own brands, and they are given their own movement codes depending on which SwatchCo brand they go into. ETA now refers to the base movement as the "A05", with upgrades in recent years such as better power reserve. That's progress for you....
The 7750 subdial arrangement is still used by Hamilton, amongst others. Hamilton calls it the H21, but it's just a 7750 with an extended PR. Watches that have the more common 7753 (or rather an ETA-made movement derived from the 7753) are available from Tissot, Certina, Hamilton, Mido, Longines, Omega, and Union. Again, all with different names for the movements but all still based on the A05 (or for Longines and Omega, the A08 with column-wheel actuation).
In fact Tissot still calls it the "7753" as well as referring to it by its updated code, A05.H31:
Discover Tissot® Swiss watches on our official website. Model T124.427.16.041.00 | Find your closest store or service center, learn more about Tissot.
www.tissotwatches.com
The SW510 uses a traditional quick-set date operated via the crown.
Finally - progress

. The date pusher was always a bit of a kludge. Longines has made a thing of it though: