Jesus
I started out thinking, “Nobody famous ever came from my city of birth”, but to my surprise there were a few. Among them: Roberta Bondar, Lester B Pearson, Sandford Fleming, and Matt Frewer.
Eudora Welty
Walter Payton
Elvis
ETA: And Jerry Clower…HAW! 
Drew Carey
LeBron James
Bob Hope
Elliot Ness
From where I’m from:
Brad Paisley
Where I live now:
Jennifer Garner
Anne Magnuson
From my hometown, no one that I know of.
From my now-home city, Aaron Rodgers.
What he said for Nashville. 
From the area where I grew up:
Janie Fricke
Thomas Marshall
Crystal Gayle (although she was originally from Kentucky, she moved to Wabash as a very small child)
Shelly Long
Carole Lombard
Connie Smith
Sylvia (the singer)
Dan Quayle (much as we’d like to disclaim him)
Marlon Brando, Gerald Ford and Warren Buffet all come from within walking distance of the house where I grew up.
No one famous from my hometown. Some Gaither people were from nearby.
However, I taught for nine years at the high school where the female half of Sugarland graduated, so we’ve probably met. I really don’t remember her, even though we were both there together for four of those 9 years.
Patrick Swayze
Howard Duff
ZZ Top
Kenny Rogers
Dan Rather
Phylicia Rashad
Beyonce Knowles
Dennis and Randy Quaid
Jaclyn Smith
I was unaware that these are/were fellow Atlantans:
Lucius D. Clay, “father” of the Berlin Airlift (1948–49), the National System of Interstate and Defense Highways and the National System of Airports and Airbases – known as “The Man Who Changed America”
Will Wright, computer game designer, best known for creating Simcity and The Sims
The Adams family (Founding Fathers)
George H. W. Bush
Buckminster Fuller
The NKOTB
New Edition
None sprang to mind, and further rumination only produces the DNF maestro Mark Webber. Pretty sad.
I moved to the town where I grew up when I was four; when I left for college 14 years later, people still didn’t consider me a local. Both of my brothers were born there: the old-timers still don’t consider them local, because our parents weren’t. I’ve met people in Scotland who identifed as “Irish” even though the ones who’d crossed the strait were their great-grandparents.
If Yeats consider himself an Irishman and “the English” considered him an Irishman, then that’s what he was, an Irishman.
From my general neighborhood, the only ones I could immediately think of are Jenny McCarthy and Danny Pudi. ETA: Oh, and the drummer of Disturbed (Mike Wengren). I’m not sure if the rest of the guys are from the immediate neighborhood or not.
From near my hometown of Johnstown, PA:
Carol Baker, Academy award-nominated actress.
Ray Scott, sports announcer, famous as the voice of the Green Bay Packers.
Jack Ham, All-Pro Steelers linebacker.
Tim Kazurinsky, comedian and actor. Famous from SNL and the Police Academy movies.
Pete Vukovich, major league pitcher, 1982 AL Cy Young Award winner.
Charles Bronson, action movie star.
Emil Sitka. Appeared in nearly 40 Three Stooges shorts. Famous for his role as the preacher in “The Brideless Groom.” His best-known line, “Hold hands, you lovebirds.” After Larry Fine had suffered a stroke in 1970, plans were made for Sitka to replace him, but nothing came of it except a promotional photograph of Sitka along with Moe Howard and Joe De Rita.
People born in my current city, Tucson:
Barbara Eden, actress-“I Dream of Jeannie”
Linda Ronstadt, Grammy-winning recording artist.
Tom Pagnozzi, former St. Louis Cardinals catcher.
Ian Kinsler, current second baseman for the AL Champion Texas Rangers.
I pretty much consider Edinburgh home now, so:
David Hume,
Adam Smith,
Alexander Graham Bell,
James Hutton,
James Clerk Maxwell,
John Napier,
Sean Connery,
Arthur Conan Doyle,
Alexander McCall Smith,
Iain Rankin,
J. K. Rowling,
Walter Scott,
Robert Louis Stevenson,
Irvine Welsh,
Mary, Queen of Scots,
Tony Blair,
and a billion more.
From my hometown, Wigan:
Richard Ashcroft,
Roy Kinnear,
Georgie Fame,
Ian McKellen
George Orwell (possibly, he lived as a tramp there while writing The Road to Wigan Pier)
The town I live in now had nobody particularly famous living in it (unless you’re a fan of Salem Witchcraft Trial books, in which case we had Marion Starkey.), but my hometown had a stack of football players (Joe Theisman, Drew Pearson, Alex Wojciechowitz), two mystery writers (Janet Evanovich and Troy Soos), and the guy who assisted Norman Rockwell and took over his commisions (Joe Csatari)
If we’re going by our own birthplaces, my list gets much shorter. The only famous people born in Yeovil are P.J Harvey, Ian Botham and Paddy Ashdown, and I doubt many outside the UK have heard of either of the latter pair.
Halle Berry
Drew Carey
Wes Craven
Alan Freed
James A. Garfield
Lillian Gish
Joel Grey
Margaret Hamilton
Bob Hope
LeBron James
Henry Mancini
Toni Morrison
Eliot Ness
Paul Newman
Jesse Owens
Jerry Siegel (my mother dated him in high school)
Debra Winger
Cy Young
And many, many more.