Producer's signature sound...

I just put Rainbow Rising on, an album I'm not all that familiar with, though I've heard it a couple of times. I knew nothing about the credits.
 
The minute the band started to play, I swear I could see the name Martin Birch in front of my eyes - whom I know mostly for his work with Iron Maiden - more so than with Purple, though in this case, I definitely heard the Come Taste the Band type of sound.
 
I'm trying to think of recognizable (pop/rock) producers... Mutt Lange comes to mind.

jamesg1213
... Martin Rushent...
 

He (quite literally) produced the 'classic' Stranglers sound on their first three studio albums.

 
 
Roy Thomas Baker springs to mind too. I knew he did some of the early Queen stuff, but looking at the list of albums he worked on, you can see a sort of trend.
 
Productions by Roy Thomas Baker (From Wikipedia):
 
Arnold Corns A.K.A.David Bowie: "Man in the Middle" (1971 – released 1985)
Free: Fire and Water (1970)
Nazareth (band): Nazareth (engineer) (1971)
Nazareth: Exercises (1972)
Gasolin': Gasolin' 3 (1973)
Gasolin': Stakkels Jim (in English: "Poor Jim") (1974)
Queen (band): Queen (1973) (Credited as Roy Baker)
Queen: Queen II (1974)
Hawkwind: Hall of the Mountain Grill (1974)
Robert Calvert: Captain Lockheed and the Starfighters (1974)
Man : Rhinos, Winos and Lunatics (1974)
Queen: Sheer Heart Attack (1974)
Queen: A Night at the Opera (1975)
Jet: Jet (1975)
Be-Bop Deluxe: Futurama (1975)
Gasolin': Gas 5 (1975)
Lewis Furey: The Humours Of (1976)
Pilot: Morin Heights (1976)
Ian Hunter: Overnight Angels (1976)
Gasolin': Efter endnu en dag (1976)
Dusty Springfield It Begins Again (1978)
The Cars: The Cars (1978)
Queen: Jazz (1978)
Journey (band): Infinity (1978)
Journey: Evolution (1979)
Yes: Golden Age Sessions (1979)
Ron Wood: Gimme Some Neck (1979)
The Cars: Candy-O (1979)
Foreigner: Head Games (1979)
Alice Cooper: Flush the Fashion (1980)
The Cars: Panorama (1980)
The Cars: Shake It Up (1981)
Heavy Metal: "Motion Picture Soundtrack" (1982)
Devo: Oh, No! It's Devo (1982)
Cheap Trick: One on One (1982)
Fast Times at Ridgemont High: Motion Picture Soundtrack (1982)
Mötley Crüe: Too Fast for Love (1982)
Joe Lynn Turner: Rescue You (1985)
Jon Anderson: 3 Ships (1985)
American Anthem:"Motion Picture Soundtrack" (1986)
T'Pau: Bridge of Spies (titled T'Pau in the US) (1987)
Slade: You Boyz Make Big Noize (1987)
Ozzy Osbourne: No Rest for the Wicked (1988)
The Stranglers: 10 (1989)
Chris de Burgh: Spark to a Flame (1990)
Shy: Misspent Youth (1990)
Dangerous Toys: Hellacious Acres (1991)
The Stranglers: All Twelve Inches (1992)
Wayne's World: Motion Picture Soundtrack (1992)
Local H: Pack Up the Cats (1998)
The Darkness: One Way Ticket to Hell... and Back (2005)
Elliot Easton: Change No Change (2006)
The Smashing Pumpkins: Zeitgeist (2007)
Transformers: "Motion Picture Soundtrack" (2007)
The Storm: Where The Storm Meets The Ground (2008)
The Smashing Pumpkins: American Gothic (2008)
Guns N' Roses: Chinese Democracy (2008)
Jimmy Chamberlin's This: "Great Civilization" (2010)
Maximilian Is King: Featuring Arthur Lynn and Nick Fowler "Songs To Kill Yourself With" (2012)
Yes: Heaven and Earth (2014)
 

THE Bruce Dickinson?

Alan "memory is everything" Parsons. 

batsbrew
Rundgren.

And that made me think of Ric Ocasek.

Yup, Todd gave all the artists he produced a signature sound...his own.

Jeff Lynne was the first name that popped into my head. I once listened to Tom Petty and the Heartbreakers' Greatest Hits compilation multiple times on a road trip and noted how easy it was to pick out the Lynne productions.
 

bitflipper
Jeff Lynne was the first name that popped into my head. I once listened to Tom Petty and the Heartbreakers' Greatest Hits compilation multiple times on a road trip and noted how easy it was to pick out the Lynne productions.
 

I like his work on ELO and some of the other artists.  The Beatles--not so much.