Right now I am playing FNV, Skyrim, and FO4. I tend to alternate between them depending on mood and also weaving a storyline between the all.
When it comes to the engine I don't know the details on how vast or small the changes are. I can, however, take note of differences I see in playing as well as some visual (shader) differences based on preset and modding work I do.
I see less difference between FNV and Skyrim although I do see more enhanced visuals and rendering in Skyrim over FNV for sure. The biggest difference is to FO4. Rain occlusion (love that so much), wet shaders, god-rays, lighting, rendering ... all way better than Skyrim or FNV to me. Also the game is much more stable, runs faster, and is more enjoyable (hard to quantify that though) to play one. Simply looks much better and runs better.
As for the old engine - I agree a new one would be nice. Yet I also think there is a silver lining to the old one and that is simply that it can make modding an other things easier. I am able to use console commands across all three games which means not having to learn a new engine. Mod format does change but I think keeping the same engine helps the modding community in many ways (although granted its a small slice of the population). A whole new engine I would think would increase the learning curve of making mods for it.
I also fail to understand why some people feel the need to insult others who like a game they don't. Perfectly fine to voice an opinion and say game A is dull, boring, unimaginative, etc. That is one person's personal opinion and totally valid. But why they have to go further and then say anyone who does like this game, that they don't, must then be stupid, dull, and so on ... why?
What's the point of that? Why insult other people for a game they enjoy and like that has nothing at all to do with their own opinion? Does the fact that other people like a game and they don't somehow threaten them or make their own opinion less valid in some way? Just doesn't make sense unless, of course, they are a trolling asshat and then best to just put those kind of people on ignore.