In the UK (which is where they came from), "January" was a bigger hit than "Magic".
New Du Mont high-resolution picture tube and high picture power give a fuller tone range

Pilot with "Magic" and "January" (they did have two additional top 40 entries, but these weren't major hits)
Pilot's only major U.S. hit that anyone can recall was Magic, which hit No. 1.

Can't believe I omitted these groups:
The Rivingtons
Papa-Oom-Mow-Mow (#43, 1962)
"The Bird's the Word"
In 1963, Minneapolis'
The Trashmen
revived both songs with
Surfin' Bird
(#4)
The Trashmen
Surfin' Bird (#4, 1963)
Bird Dance Beat (#30, 1964)
https://www.youtube.com/watch?v=9Gc4QTqslN4&list=RD9Gc4QTqslN4

Tone-Lōc

Sorry, but Gary Lewis & The Playboys had more than 2 hits:
This Diamond Ring
Just My Style
Green Grass
Everybody Loves a Clown
Count Me In
My Heart's a Symphony
Save Your Heart for Me
Sure Gonna Miss Her
Where Will The Words come From
(You Don't Have To) Paint Me a Picture
Sealed with a Kiss
9 of their 11 hits were Top 20, with 7 going Top 10

Gary Lewis & the Playboys:
This Diamond Ring
Just My Style
Liberal face
->

Gene Vincent
Be-Bob-a-Lu (1958)
Lotta Love
Jimmy Clanton
Just a Dream (1962)
Go Jimmy Go!
Venus in Blue Jeans
Johnny Burnette
You're 16 (1960)
Dreamin'

Edwin Starr:
25 Miles (1970)
War (#1, 1970)
Starbuck
Moonlight Feels Right (#1 in 1976).
Everybody be Dancin'
Bobby Freeman
Do Ya Wanna Dance? (big 1959 hit)
The Swim (1964)
The Diamonds
Little Darlin' (#2, 1958)
The Stroll (also big)

"Call It What You Want" was pretty big, too.

Didn't Tesla also have another hit? "Little Susie", or something? That's the only song by 'em I remember.

Tesla - "Love Song" (1989, Number 10) and "Signs" (1991, Number Eight)

The Critters
"Younger Girl" (1966)
"Mr. Dieingly Sad" (1966)
Sam & Dave
"Soul Man" (1967)
"Hold On, I'm Comin'"

Vanity Fair
Early in the Morning (1969)
Hitchin' a Ride (1970)
Blue Suede
Hooked on a Feeling (1974, big pop hit)
Never My Love (1974)

L7 - 'Andres' and 'Pretend We're Dead'
I miss listening to genuine rocker chicks like them. How do I know they were the real deal? Well only a real rocker chick would do this:
During their performance at the 1992 Reading Festival, the band experienced "technical difficulties with their audio equipment" and were forced to stall their set. The rowdy crowd grew restless and began throwing mud onto the stage. In protest, lead vocalist Donita Sparks removed her tampon on-stage and threw it into the crowd yelling "Eat my used tampon, beep Sparks has remained unapologetic about the incident. This has been referred to as one of the "most unsanitary pieces of rock memorabilia in history."

There are MANY two-hit wonders, also, many 3-hit wonders.
Some off the bat:
The McCoys.
Hang On Sloopy (1965- one of the biggest & most-remembered songs of the 1960s)
Fever (a Top 10 follow-up).
Strawberry Alarm Clock.
Incense and Peppermints (#1, 1967).
Forever
The Beau Brummels.
Laugh, Laugh (1966)
Cry Just a Little
Roy Hamilton.
You Can Have Her (1961)
Don't Let Go.
The Regents
Barbara Ann (#10, 1961)
Runaround (#28)
Danny & The Juniors.
At The Hop (1957)
Rock and Roll is Here to Stay
The Del-Vikings
Come and Go With Me (1958)
Whispering Bells
Gallery
Nice to be with You (1972)
I Believe in Music
Argent
Hold Your Head Up (1971)
All Right Now
Bo Donaldson & The Heywoods
Billy, Don't Be a Hero (#1, 1974)
Who Do You Think You Are (#15)

Men Without Hats ("Safety Dance", "Pop Goes The World") and Wall of Voodoo ("Mexican Radio", "Far Side of Crazy")

Jimmy Jones' 2 early 1960s hits (1960) (very large hits):

Handy Man
(later redone by James Taylor, in the late 1970s); and
-Good Timin'.

Spin Doctors.

I adore Mi was a third hit for Color Me Bad - I see a problem saying someone was a hit or two wonder cos it depends on the Country - Snow made have one hit in USA, but in Canada he had severals
I once taught a German shepherd how to bark in Spanish

Color me badd. I swear too this day there the ones who came up with two hit wonder because you cannot not know them without their first song or not hear about it all.
Color me badd-I want sex you up
Color me badd-All for love

Yes, Epstein was the Cyrkle's manager. Bobby Hebb ("Sunny, once so true . . . I love you") performed before the Cyrkle did. Epstein, however, wasn't his manager. Both Hebb and the Cyrkle played ten or fifteen minutes each and were warmly appreciated. The reception for the main act was much warmer, as you might imagine.

WowBrian Epstein also managed the Cyrkle, if I'm not mistaken

The only one that comes to mind is the Cyrkle: "Red Rubber Ball" and "Turn-Down Day". I saw them in 1966 when they opened for the Beatles.

2 top 10 hits in the UK and a few minor ones.
b l u e
g r e e n