One of the great romantic songs.

Covered by many....I'm sure I left quite a few out, but got the major recordings.

Bobby Darin...Just for sounding so different from anything else he sang.

The Small Faces.

Luka Bloom, with Robert Plant a close 2nd

I went with Darin too, but the Cashes are a close 2nd.

Really like the song, but not sure who I like it by! In addition to your list I went through 11 pages of AMG, & gave up & voted for the composer; at least I own that version!

I have a strong suspicion that I once listened to a version by some obscure artists & really liked it, but currently couldn't tell you who it was.

My favorite is the Ramblin' Jack Elliott version. It practically lifts my soul out of my body. I love the Tim Hardin version too.

Here's a long list of artists who covered it from Wikipedia. They mention Dan Fogelberg. Short of looking at all of his later cd's, by Googling the only version i can find is a bootleg you tube video. If this list is complete, I guess Hardin's is my favorite, with Leon Russell #2.

A - F

Sandro de América
The Animals
American Blues on American Blues 'Is Here' (1967)
Azra on It Ain't Like the Movies At All (1986) ("If I were a barbarian")
Joan Baez (re-gendered as "If You Were a Carpenter" on 1967 album Joan)
Harry Belafonte
Luka Bloom
Wes Carr
Johnny Cash and June Carter (a country-rock crossover in 1970).
Chicken Shack
Wayne Cochran
David Allan Coe
Bobby Darin
Dave Dee, Dozy, Beaky, Mick & Tich on Golden Hits (1967)
Neil Diamond
Dik Dik (Italian version "Se io fossi un falegname")
Val Doonican
Dropkick Murphys
Ramblin Jack Elliot
Engineers
Marie Fredriksson (Swedish version)
Flatt & Scruggs on Nashville Airplane (1968)
Dan Fogelberg
Four Tops (1967)
The Free Design

G - O

Johnny Hallyday (Si j'étais un charpentier - French version)
Emmylou Harris and Johnny Hallyday
Heartless Bastards
Eldridge Holmes
John Holt
Burl Ives on The Times They Are a-Changin'
Bert Jansch
Southside Johnny & Little Steven
Waylon Jennings on Singer of Sad Songs
Elton John
Kal P. Dal (Swedish version - Om ja’ va’ en slashas)
Andy Kim
Ed Kuepper
Raymond Lefevre
Jody Miller (re-gendered as "If You Were a Carpenter")
Matt Monro
Lee Morgan (jazz version)
Willie Nelson and Sheryl Crow
Leonard Nimoy

P - Z

Dolly Parton
Robert Plant
Ronnie Von (Portuguese version "O Carpinteiro")
The Pozo Seco Singers
Quickspace, as part of their Peel Session for the John Peel radio show on BBC Radio 1, 11 October 1998 (later voted #39 in 1998's Festive 50 countdown of listeners' favourite songs for that year)
Johnny Rivers
Leon Russell (1974)
Bob Seger
Small Faces
Smile
Kevin Spacey
Petr Spálený (Czech version "Kdybych já byl kovářem")
Dave Suich of The Ukulele Orchestra of Great Britain
John Swan, aka Swanee
Pete Townshend on Wild Action (solo live at London Roundhouse April 14, 1974)
Roch Voisine on Americana II (2009)
Cornelis Vreeswijk (Swedish version "Om jag vore arbetslös")[1]
Leslie West on The Great Fatsby
Yo La Tengo live on WFMU

^^^^
That's the list I was trying to sort out from.