I haven't played a lot of remakes of games over the years. However of those I have, I haven't run into a game where I said "oh yeah, this one is way better than the original". Then again, I can't say I've seen a remake of a movie that was better than the original either, but like Aussie said, one can't be objective about such games. "Conker's Bad Fur Day: Live and Reloaded" is probably the first (that I can think of at the moment) example of me experiencing a bone fide "remake" and preferring the original. I liked the updated graphics, I liked the addition of the Xbox Live content BUT they should have left the game's content alone. "Super Mario 64 DS" is another title: I'm not sure why Nintendo got the itch to make your main character Yoshi instead of Mario and change up the game. I could have seen playing a portable version of SMB64 and then having the choice to play as other characters to beat the game as them with their own unique movesets. "Metal Gear: The Twin Snakes" (or whatever it was called) for Gamecube actually kinda broke the game play from Metal Gear Solid by using the Metal Gear Solid 2 engine. Gorgeous game but the new engine caused problems with some of the puzzles (like the fight with Revolver Ocelot, if memory serves).
As for liking modern games, like anything else, it's always going to be subjective. I used to be pretty up to date with games up to the X360/PS3/Wii/U era but then my interest in the games at the time started to wane. Even though every generation can be blamed for having games that played near the same, in the then (and seemingly now from what I read, now) modern era the games got to feel the same. The differnce was, in my mind, that the 3D style games like FPS (which I enjoyed) and third person/first person adventures (like Mass Effect) tended to get stuck in ruts of "action sequence, explore sequence, action sequence (oh yeah, this next area has spots to take cover, I bet I'm going to be attacked), etc. Past games, like platformers and shooters, had the same concept elements but different approach to each. Which is probably why for me personally, I think I am sliding more toward either classic or "classically designed" games than going for the new AAA hotness like I used to. I love "Shovel Knight"-modern but still "old school" in all the right ways without giving me cheap deaths.
I think for some regarding a visible "dislike" of modern games, maybe those titles just don't scratch the itch classics do? As Shane R. Monroe called it in an episode of Retro Gaming Radio, people are looking for that "cherry high" they had with the games of their past. Sometimes the new games can hit the right buttons, but sometimes games, like "remakes" just don't do it. Other times, like it sounds with the new Final Fantasy 7 remake, it flicks new switches that the gamer didn't know they had available the virtual dopamine kicks in.