What modern or very new bands can you advise me to listen to that play music resembling Pink Floyd, Genesis, Yes, or Transatlantic?
This may end up being a list question, which tend not to go down well on SE, but just to get in before that happens...
You ought to have a listen to Steven Wilson, solo albums, work with Porcupine Tree & collaborations with some of the names on your list.
He's pretty much regarded as the 'modern prog guy' - though across various albums he sways from almost jazz to almost metal, so he's not that easy to tie down.
His catalogue is too large to really know where to start - however, the first album of his I heard was Hand.Cannot.Erase which prompted me to find other of his material; so why not start from there...
A bit of biog from Wikipedia...
Currently a solo artist, he became known as the founder, lead guitarist, singer, and songwriter of the band Porcupine Tree, as well as being a member of several other bands. He has also worked with artists such as Opeth, King Crimson, Pendulum, Jethro Tull, XTC, Yes, Marillion, Tears for Fears, Roxy Music, and Anathema.
Wilson is a self-taught producer, audio engineer, guitar and keyboard player, playing other instruments as needed, including bass guitar, autoharp, hammered dulcimer and flute. Despite being mainly associated with prog music, his influences and work have encompassed diverse genres such as psychedelia, pop, extreme metal, electronic, and jazz, among others, shifting his musical direction through his albums. His concerts incorporate quadraphonic sound and elaborate visuals.
In a career spanning more than 30 years, Wilson has made music prolifically and earned critical acclaim. His honours include four nominations for the Grammy Awards, twice with Porcupine Tree, with his collaborative band Storm Corrosion and as a soloist on one occasion. In 2015, he received three awards at the London Progressive Music Awards for his services to the world of progressive rock music and crowned "the king of prog rock". Nevertheless, his work has largely stayed away from mainstream music, being described by publications such as The Daily Telegraph as "the most successful British artist you’ve never heard of."
A few bands that I have discovered recently that are reminiscent of the bands you mentioned:
- The Physics House Band (Instrumental)
- Opeth (Their later albums are pure Prog Rock, their earlier material is much heavier, closer to Death Metal)
- Chon (Instrumental)
- From Monuments to Masses
Note that a lot of what gets labeled Post-Rock doesn't really sound that much different than 70s Prog Rock - so you can look up that genre for Pink Floyd / Yes style sounds.
All your example bands can be listed under the category of 'prog (progressive) rock'. Although a tautology, searching 'modern prog rock' may guide you to some answers.
Examples from this 'music afficionado' page, for instance includes suggestions like: Syd Arthur, Suuns, Battles, while this reddit page points to the abovementioned Steven Wilson as well as Astra, Mostly Autumn, etc.
This question makes me feel really old because normally I would consider "Transatlantic" modern but the thing is their first album came out seventeen years ago. "Porcupine Tree" were around back then too though. Steven Wilson is the obvious answer(and PT too)but there are tons of other bands and artists. I suggest going to progarchives and doing a search or buy PROG magazine. Other than that "Big Big Train" is often considered to be one of the very best of the newer bands. You might want to also check out "Spock's Beard", "Anglagard", "IQ" and "The Flower Kings" even though they have all been around a while but they have that classic prog sound which fans of the older bands would quite possibly like.
As I don't have enough reputation to comment, I will tack on some relevant info here as an answer.
I second the Steven Wilson recommendation. However, I think it's worth noting that in terms of sound, you're more likely to get what you're after with his solo work. Further, his solo stuff seems to encapsulate single themes (like alienation in the modern world or whatever) more broadly and thoroughly, whilst Porcupine Tree albums have more of a 'concept album' feel. Hope that helps!
P.S. the band Tool might also be worth a listen, though they only really seem similar to Pink Floyd, and last released an album in 2006.