I counted 48 songs here. I only included artists that have mostly hits in their discography, otherwise I should've put the whole catalog of some. I may have forgotten someone.
EDIT: I just read about the 2010-14 period. Welp!
Leona Lewis - Trouble (Top 10 peak but tragic chartrun)
Leona Lewis - Lovebird
Adele - Rumour Has It
Adele - Turning Tables
Jessie J - Thunder
Ellie Goulding - Under The Sheets
Ellie Goulding - Guns And Horses
Ellie Goulding - The Writer
Ellie Goulding - Lights (It was a flop in the UK, should it count?

)
Ellie Goulding - Figure 8
Lily Allen - Littlest Things
Lily Allen - Who'd Have Known
Lily Allen - Hard Out Here
Lily Allen - Our Time
Emeli Sandé - Daddy
Cher Lloyd - Want U Back (Wiki says Oath, I Wish and Sirens haven't been released there)
Girls Aloud - Beautiful 'Cause You Love Me
Natasha Bedingfield - Say It Again
Alexandra Burke - Let It Go
Alesha Dixon - Knockdown
Alesha Dixon - Radio
Alesha Dixon - Every Little Part Of Me
Duffy - Rockferry
Duffy - Stepping Stone
Duffy - Well, Well, Well
Geri Halliwell - Desire
Geri Halliwell - Half Of Me
Emma Bunton - All I Need To Know
Mel B - Today
Mel B - For Once In My Life
Diana Vickers - The Boy Who Murdered Love
Diana Vickers - Cinderella
Diana Vickers - Music to Make Boys Cry
Jamelia - So High
Jamelia - I Do
Jamelia - Boy Next Door
Jamelia - Bout
Jamelia - No More
Katy B - Easy Please Me
Katy B - Witches' Brew
Katy B - What Love Is Made Of
Katy B - Still
Nicole Scherzinger - Wet
The Saturdays - Work
Sugababes - Soul Sound
Sugababes - Follow Me Home
Sugababes - My Love Is Pink
Sugababes - No Can Do