I don't own any, but FWIW I am in the market (not rushing though) for Nautilus, Royal Oak and Overseas. So, I tried them all (Nautilus was only available in the complication version). I liked Nautilus for the fit, however, I immediately fell in love with the white dial Royal Oak (15400). Nautilus was great but aesthetics-wise, Royal Oak appealed much better to me (the white dial in metal is just gorgeous). With Nautilus, I am not able to justify almost $10K variance in price, which can get you another nice high-end watch. Also add the fact that, finding one is super tough.
With Overseas, the dial is great (white dial , basic model), however, the rest of the watch doesn't seem to be on par with AP quality (I'm talking especially the hands, hour markers etc.). Also, no see-through case back is kind of a deal breaker.
So, of all three, I liked Royal Oak the most, aesthetically. However, I have three issues with it, before a purchase decision:
1. Movement and attention to detail look stunning, however 21600 bph seemed very low in real life. I didn't know this, before I tried one on. When the watch came to life in my hands, I couldn't believe how un-smooth the seconds hand looked. For a three-hand watch, sweeping seconds is something I really like, hence anything at or above 28800 bph looks great (heck even my Omega PO moves fantastic at 25200 bph). So, before I decide on this watch, I have to decide if I am OK with un-smooth seconds hand.
2. I read a lot of horror stories with cost and duration of the service of a Royal Oak. If I get one, I am planning to wear it pretty frequently. Not as a daily beater, but definitely more than a week per month. In this case, having no access to my watch for almost a year, every 5-6 years doesn't sound interesting. And all the while paying tons of money for that.
3. The image of the AP brand and its potential future concern me. PP and VC seem to have a traditional high-end image in the eyes of people of all ages (hence they are great watches to pass down to next generation). However, AP seems to be focusing on ever-changing, modern designs; mostly targeting a certain demographic, who would spend money for the sake of spending money.
So, at this point, I am not fully sold on any of the three, but kind of inclined to Royal Oak the most. Hope this helps.