The Beatles' Lady Madonna (released March 15, 1968) was "inspired" by Humphrey Lyttelton's trad jazz hit Bad Penny Blues (released 1956). Per Wikipedia:
According to musicologist Walter Everett, "Lady Madonna" is a raucous rock and roll song. Paul McCartney based his piano part for the song on Humphrey Lyttelton's 1956 trad jazz rendition of "Bad Penny Blues" which had been recorded by George Martin in the 1950s. According to Ringo Starr in Recording the Beatles, "We asked George how they got the sound on Bad Penny Blues." McCartney said of writing the song in a 1994 interview, "'Lady Madonna' was me sitting down at the piano trying to write a bluesy boogie-woogie thing ... It reminded me of Fats Domino for some reason, so I started singing a Fats Domino impression. It took my other voice to a very odd place." Domino himself covered the song later in 1968. The Fats Domino hit "Blue Monday" from 1956 tracks the feelings of a hard working man over each day of the week. "Lady Madonna" imagines the situation from a woman's perspective.
The intro/chorus piano melody to Flo Rida's My House (released October 15, 2015) owes a musical debt to the intro/bass melody to the Four Tops chestnut It's the Same Old Song (released July 9, 1965), while My House's chord changes are similar to those found in Curtis Mayfield and the Impressions' People Get Ready (also released in 1965). Allegedly, writer Lamont Dozier created Same Old Song's progression by reversing the changes to his preceding Tops' hit, I Can't Help Myself (Sugar Pie Honey Bunch).
Love You More by English boy band JLS is very similar to Better in Time (released March 9 2008) by fellow Brit Leona Lewis. Both songs follow a common I-iii-vi-V-IV (or 1-minor 3-minor 6-5-4) progression only a half-step apart (Love You More: G major, and Better in Time: F# major).
The intro/chorus piano part to Hall of Fame by the Script featuring Will.i.am (August 19, 2012) has the same common chord progression (vi-IV-I-V or minor 6-4-1-5) as Alone by Heart (released May 16, 1987), albeit at slightly different tempos, and a half-step apart (HoF: Bb, Alone: C), and HoF's piano melody is similar to the vocal melody that Ann Wilson sings in Alone's chorus. Hall of Fame (:31) VS Alone (:50).
The intro to One Direction's hit single Best Song Ever (released July 22, 2013) appears to pay homage to The Who's Baba O'Riley, often mistakenly called Teenage Wasteland (released November 1971--roughly 20-years before 1D's members were born). Both songs begin with a sixteenth-note arpeggiated pattern (BOR on keyboard, BSE on guitar). The similarities continue with piano chords playing on the first and fourth beats of the measure and the first beat of the subsequent measure (BOR in the key of F plays 1-5-4; BSE in the key of C# plays 4-1-5), followed by a Keith Moon-inspired drum fill and pattern, and finally power chords a la Pete Townshend in synch with the piano part. Online entertainment sites PopCrush and Click Music also note similarities between the tunes.
Colorado/LA pop band OneRepublic (known for their hits Apologize, Good Life, Secrets, and Stop and Stare) released their single Feel Again in August 2012. The uptempo track features gospel-inspired vocals and handclaps, but also bears a strong resemblance to several songs including Florence and the Machine's Dog Days Are Over (released in December 2008). Compare Feel Again's production with Dog Days' (e.g. handclaps, drums, piano, tambourine). Likewise, the main melody in Feel Again's chorus (the lines "I'm feeling better ever since you know me, I was a lonely soul but that's the old me") is reminiscent of the melody from both the verses in the Killers "All The Things That I've Done" (released in August 2004), and the pre-chorus in the Buggles "Video Killed the Radio Star" (released in 1979) i.e. "I met your children, what did you tell them?"
Pitbull's 2013 dance track Feel This Moment (featuring Christina Aguilera) includes a melody from A-ha's 1985 hit Take On Me (Pitbull shares co-writing credit for Feel This Moment with the Norwegian synth pop group). However, no such credit is afforded Austin indie rock band Spoon, despite the fact that Feel This Moment seemingly borrows its piano part/progression from the group's 2007 cut You Got Yr. Cherry Bomb. Check out the piano intro on both songs. (Ironically, You Got Yr. Cherry Bomb borrows elements from Maxine Nightingale's Right Back Where We Started From, as well as Elvis Costello's High Fidelity, and Simon and Garfunkel's My Little Town.)