Welcome to this section of the forum. To answer your question can be summed in the following:
1. If you want a perfect rep there aren't any. There are only a handful of models that have the clone movement which is commonly known as 15400 and 15500.
2. Looking at your wishlist of models, most of them come with complications such as the chronograph. They are bad reps with unfavorable thickness. At this stage only look for your standard 3 hand with date watches. Still need time for factories to come up with a good clone movement for chronograph which the Daytona has with the 4130. We are still waiting for our "4130" breakthrough
3. Common mods will be acquiring a gen dial because the dial of AP is very difficult to replicate due to the complexity of the creation for the dial. Gen dials can be found in ebay or chrono24 but do your due diligence first.
So TLDR, if you want to have a solid first hand experience with an AP rep, go with the 15500 produced by APS or ZF. I learnt from reading this forum is that your aim of wearing an AP watch is for novelty purposes. Enjoy