I’ve glued together two rather different requests for recommendations here, one about queer representation in IF and the other about classic parser-style work from recent years.
I’m okay with doing this occasionally, but for what it’s worth, IFDB is better than you might think at letting you answer this kind of question for yourself. You can set up polls or search people’s pre-existing curated lists, or use IFDB’s tagging system. I’ve recommended a few related search approaches here as well.
Do you have personally favorite narrative-gaming works among those in which the player character is identifiably queer? (Either incidentally or as part of The Point of the work.) I imagine you get secondary-research type questions like this with some frequency, but if you have any brief thoughts I would be grateful for thoughts for things in that (very broad) category to especially check out.
These are differently fit for different contexts, but my personal favorite interactive stories of queer protagonists would probably be these:

Birdland by Brendan Patrick Hennessy. Charming lesbian goes to summer camp story. Several of BPH’s games are about queer teenagers (see also Known Unknowns, which gets slightly more seriously into how-this-relationship-can-go-wrong territory, with characters who aren’t out yet or haven’t yet figured out their own sexuality).
With Those We Love Alive, Porpentine. Kind of the other end of the spectrum as far as accessibility. I wouldn’t necessarily recommend this one for kids, and it might need unpacking of its trans themes even for some adult audiences. A lot of Porpentine’s other works would qualify here.
SPY INTRIGUE by furkle. This is definitely not for kids either.
But in picking my favorites here, I have a very large set of works to choose from, since queer-protagonist interactive fiction is pretty abundant.
Several pieces explicitly look at some aspect of queer experience as the main point of the story. Among the ones I’ve found most striking are Coming Out Story by Nicky Case; Bloom and Cis Gaze by Caelyn Sandel; and Tentacles Growing Everywhere by Dietrich Squinkifer. I’m also interested in, but haven’t yet had time to play, A Bathroom Myth by Anya Johanna DeNiro.
There are also several brands and serieses that explicitly permit the player to self-define a character’s gender expression or sexual attraction. Here I’d include Fallen London and all the games in its universe including Sunless Sea and Sunless Skies, as well as the Choice of Games brand. Fallen London and many of the CoG games allow non-binary gender protagonists as well as same-gender relationships, and in some cases allow the protagonist to negotiate poly relationships. The Failbetter blog includes a discussion by Hannah Flynn of how they approached gender in their work.
There are other games in which the protagonist is of fixed gender but can opt into relationships with other characters of various genders in the course of play, without explicitly making that part of protagonist identity. 80 Days includes at least one same-sex romance encounter I know of, and there may be more I didn’t see.
An IFDB search for the tag “queer” will turn up further options. Meanwhile, Queerly Represent Me offers some resources on this general topic and on sensitivity reads.
I’m a fan of old-style text adventures. Is anything like those still being produced?
Yes indeed. It’s not entirely clear what time frame we should consider for “still” here, but I’ll arbitrarily band to the past five or six years, with a couple suggestions that go further back if they might have gone overlooked at the time. And as for “old-style,” I’m pairing with some Infocom games but also some canonical early hobbyist IF.
The Enchanter series in general: for comedy-fantasy, try Oppositely Opal (Buster Hudson, 2015) or Illuminismo Iniziato (Michael J. Coyne, 2018). A little further afield from Enchanter but still in the general vein of light-hearted puzzle game with fantasy approach to reality, consider Thaumistry (Bob Bates, 2017). The Wizard Sniffer (Buster Hudson, 2017) is also highly acclaimed, though I personally haven’t played it.
Zork III and Spellbreaker for their challenging set-piece puzzles: Try Scroll Thief (Daniel Stelzer, 2015). It allows you to get the world model into surprising states, and the solutions often left me with a pleasing sense of having really gotten away with something. And if you really want parser puzzles with a minimum of fiction, try Junior Arithmancer (Mike Spivey, 2018) as well as pretty much the entire oeuvre of Arthur DiBianca, who excels at this style.
Deadline: Make It Good is my favorite answer to Deadline, but that itself is now a decade old. More recently, if you were interested in comparing people’s stories and trying to extract a consistent meaning, you might like Color the Truth (mathbrush, 2016).
Infidel: try Arthur DiBianca’s archaeology puzzler Temple of Shorgil (2018). Or, if you want something a bit more Indiana Jones, there’s Tex Bonaventure and the Temple of the Water of Life (Truthcraze, 2013).
Plundered Hearts: If you liked it for its romance theme, I have to reach back a few years to the work of Kathleen Fischer. But if you liked Plundered Hearts for its self-conscious pulpy use genre, its forward-moving plot, and the opportunities to cause wild reactions in the various NPCs you encounter, I recommend the heist game Alias ‘The Magpie’ (J.J. Guest, 2018), or the alien-invasion adventure Brain Guzzlers from Beyond! (Steph Cherrywell, 2015).
Planetfall: I don’t have any recommendations that will give you a Floyd replacement, precisely, but in the “abandoned SF station with puzzles to solve” zone, here’s Richard Otter’s Word of the Day (2017) or Steph Cherrywell’s Chlorophyll (2015).
Hollywood Hijinx: this is one I didn’t get all the way through myself, but Diddlebucker! (J. Michael, 2018) very explicitly casts itself as an Infocom nostalgia piece, and the reviewers appear to have found it a solid puzzle game.
Suspended: Terminal Interface for Models RCM301-303 (Victor Gijsbers, 2018). Well, maybe. I haven’t actually played Suspended. But both of these games involve control of a distant robot that provides your senses.
Nord and Bert Couldn’t Make Head or Tail of It: Andrew Schultz‘s games do wordplay surrealism in pretty much every configuration you can imagine.
Trinity: A Beauty Cold and Austere (Mike Spivey, 2017), a math-themed, historically-informed puzzle-fest. It has a happier meta-arc than Trinity, but the puzzles are generally excellent.
Frenetic Five series: The Owl Consults series consists of two games by different authors, but both involving teams of superheroes whose skills can variously be activated to get through the game.
So Far: Sub Rosa (Joey Jones and Melvin Rangasamy, 2015) presents an excellent selection of puzzles set in an environment that doesn’t physically resemble our own very much at all.
Tapestry: Map (Ade McT, 2015) is my favorite recent-ish parser puzzle game that reflects on key turning points in the protagonist’s life, and what it would mean if they’d gone differently.
Anchorhead: the obvious recommendation here has to be the multi-author tribute game Cragne Manor (everyone under the sun, 2018).
The Act of Misdirection: Three Card Trick (Chandler Groover, 2016).
Bonus suggestions: I didn’t get nearly all the way through Worldsmith (Ade McTavish, 2016), but it’s huge. If you’re looking for something epic and ambitious, maybe that’s worth a try. Also, at 2014, Hunger Daemon falls just outside the category but it’s solid, funny stuff.
If you search for tag:parser published:2015-, you can find IFDB’s list of titles that might also fall into this category.
Finally, I’d also say that there is a whole genre of parser games written in the past five years or so that retain a lot of the parser’s advantages but work on making the experience more accessible to new users. Since they’re not really “old-style”, I haven’t listed them here, but I discuss the phenomenon in this Rock Paper Shotgun column.