The gaming world hasn't left you old farts out, you just need to go beyond watching the latest Call of Duty ad, huffing and puffing a bit about it and declaring gaming dead.
If you care as much as you imply, look for new games. No, you won't find them in TV ads. You didn't find them on TV way back when anyway. There are dozens, even hundreds of new games that come out that have amazing gameplay, depth and breadth and everything in between. Yes, some of them even look pretty while doing it, *gasp* you don't have to look ugly to be engaging!
You want strategic depth? Beyond the obvious choices like Starcraft 2 (which has more strategic layers than most RTS of yore), you can find stuff like Cities: Skylines (amazing, in-depth city builder, released less than a month ago), Endless Legend (amazing and beautiful 4X), Homeworld Remastered (yes it's an old game but it plays like a modern one with the remaster), Crusader Kings 2 (you want complex interactions? this goes way beyond rock/paper/scissors), Europa Universalis IV (it's Crusader Kings but with a scope 10x larger), Kerbal Space Program (make rockets, send things to space, all physically-driven), Invisible, Inc. (early access turn-based spy game, extremely well crafted and difficult), Planetary Annihilation (spiritual successor to Total Annihilation, but set on multiple planets in the same match, with all that that entails), Civilization V (the pinnacle of the series with both expansions), Wargame: Red Dragon (latest in a series of highly accurate historical RTS games, focus on realism and scale, very detailed), Frozen Cortex/Synapse (turn-based duel games where you give orders to a squad and watch your orders and the enemy's unfold simultaneously, very high skill ceiling)... need I go on? I've barely checked 10% of my own library here.
Then there's the stuff outside of the more strategic/planning. Let's only name a few examples: Transistor (amazingly beautiful and atmospheric isometric brawler with unique pause planning combat set in a cyberpunk setting), Bayonnetta (probably the best spectacle fighter ever made, easy to learn, hard to master, incredible depth), The Stanley Parable (very funny, very enjoyable interactive fiction with a lot of branching paths), Antichamber (really really novel puzzler, lots of interesting brain teasers), Portal 1 and 2 (if you don't know about them, where the hell were you?), Gunpoint (excellent noir-style 2D hacking game) and more besides.
So I'm sorry if I'm not partaking in the Slashdot tradition of bashing on modern gaming as though it lacked substance and depth, but unlike most people here I seem to have actually followed gaming's development instead of merely going "get off my lawn."