Jeez OP, with so much interest in games, and so many great games listed, I'd have never figured you to be an admitted casual, though the honesty is refreshing to see quite frankly.
I'm a bit of an odd man out when it comes to gamer types. I started at it late in life about 18 years ago, and am now 61. I first got into playing mp demos of games like MoH Allied Assault and Spearhead. Then I progressed to getting a lot of buy 2, get one free used PC games like Deus Ex, RTCW, as well as of course Allied Assault, Spearhead, and others. I really miss the days where used PC games were plentiful.
I dabbled into some of the better horde type games like Painkiller and it's expansions, and Serious Sam, but outgrew the mindless AI. I mostly played FPS games back then, but eventually grew to like a lot of the better TPS and a handful of RPGs. My only pet peeve about some TPS is the shot angles can sometimes be restricted, and the character movement is sometimes too slow and loopy for even things like turning around. The latter is something GTA is getting worse at lately, you feel geriatric.
Some of my fave FPS are HL2, Medal of Honor series, CoD MW, Battlefield series campaigns, Crysis series, Doom 2016, Far Cry series, Wolfenstein series (RTCW and beyond), Titanfall 2, Call of Juarez series, Bioshock Infinite, Syndicate 2012, etc.
Some of my fave RPGs are Assassins Creed series, Skyrim, The Witcher 3, Mass Effect series, Fallout 4, Deus Ex, etc.
The only puzzle games I enjoy are Portal 1 and 2.
Some of my fave TPS games are Kane & Lynch 2, Spec Ops The Line, GTA IV & V, Max Payne series (mostly 3), Watch Dogs series, Red Faction Guerrilla, Quantum Break, Just Cause series, Gears of War series, etc. Both Kane & Lynch 2 and Spec Ops The Line are incredible and very challenging on the hardest mode.
Some lump horror games into TPS, but I like to keep them their own genre. My faves in that genre are Dead Space series, The Evil Within 1, RE4 & 2 Remake & RE7, Alien Isolation, F.E.A.R. series, Alan Wake (but not American Nightmare), Doom 3, Dying Light & The Following, STALKER & expansions, Dead Island series, etc.
I also really enjoy the tactical shooter genre, but since I limit my gaming to offline only anymore, it's a small list of the likes of Ghost Recon series and Sniper Elite series. GR Wildlands far and above stands out as my fave tactical shooter.
My fave stealth games are Hitman Absolution, MGSV, Splinter Cell series, Batman series, Riddick Butcher Bay, The Saboteur, etc.
Beat em up/Action Adventure games I like are Tomb Raider series, Mad Max, Sleeping Dogs, Remember Me, Godfather series, Mafia series, Shadow of Mordor/War, etc.
There's also a weird FP/TP and at times Hack and Slash genre you have to put some games into, like Star Wars Jedi Outlast, Jedi Academy, and Battlefront II 2005 and 2017, all of which I thoroughly enjoyed.
Lastly, I also enjoy good racing games. Some of my faves are Need for Speed series, GRID series, DiRT series, Project CARS, Burnout Paradise, Shift series, Split/Second, Driver San Francisco, etc.
I can relate to what you're saying about the digital download and micro trans trend. That and lack of polish in games lately are annoying. I also don't like this move to online only games with tiered loot, and am appalled that Ubi are destroying the core pillars of Ghost Recon by making Breakpoint with a fictionalized setting and The Division type gameplay. They've now promised to bring back squad AI, but there's a petition with over 1800 signatures to also bring back offline campaign mode.
I really get into games like Ghost Recon Wildlands and The Evil Within 1, and made video tutorials of each on how to beat them on Extreme and Akumu with no skill upgrades. So I find it pretty disturbing to see things like drone armies, fake settings, gimmicky online play, and in TEW 2, dumb monsters that no longer hear you running, and a cover system with auto takedowns.
BTW, if you enjoy games that have time manipulation, you may also want to try Quantum Break, Max Payne 3, Dishonored, Syndicate 2012, Dead to Rights, and Singularity.