Really, it depends on the gameplay mechanics that are supporting them. I think real-time combat offers far more variety and flexibility, which can make it both substantially better (Xenoblade Chronicles) and significantly worse (Tales of Zestiria) than turn-based titles. Consistency might be a better choice, but the problem with that is that everything feels the same - if you've played one turn-based game, you really have played them all. There isn't a huge amount of variety to these games.
...and herein lies the issue. There is so much that can go wrong with real-time combat. Pacing can make it ridiculously easy or impossibly (and often unfairly) difficult. Bad camere angles will absolutely wreck things, too. Turn-based combat doesn't really have these issues - you move, someone else moves, and even if it's still difficult, there is an element of methodical strategy which makes the difficulty far more balanced...most of the time. But I love the way real-time games can shake things up, and rely more on player skill rather than the RNG that plagues turn-based titles. Dodge an attack by timing it just right, or by praying the relevant stat is high enough? It's so much more satisfying to do things yourself and not wait for enemies to take a turn.
Turn-based titles generally age better because it's such a basic system, but because it's so basic it's very easy to surpass it...or it should be. I would usually go with a game with a real-time combat system, simply because it's more engaging. That said, I absolutely love DRPGs and SRPGs. I think turn-based titles are best supported by a grid-based map for additional strategy, and with the exception of very few games I would rather play Disgaea than a game with real-time combat, because it's the pinnacle of strategic gameplay.
Comparing the two is rather difficult, because they're totally different experiences, and I'd play them for different reasons. Most of the time I'd play a real-time game if I wanted a bit more of a challenge...unless I wanted to blow off steam, in which case I'd play a Warriors title. Turn-based titles I generally play to relax...unless it's something overly complex like Disgaea.
Really, the two are just frameworks, and whilst both have their strengths and weaknesses, I don't think either one is inherently better than the other...developers are just doing more original and exciting things with real-time combat these days. It offers more room for flexibility when you can move around and aren't constantly waiting for your foe to take a turn...and because of that, so much more can go wrong with it.