They are both wistful songs even though one is sad and one is sort of happy. But there are also similarities in the verse melodies and a bit in the choruses. However this is more pronounced in the version that was done by "Christian" on the CD "Coolidge 50" than it is in the original Shaw Brothers version, so it could be that Christian was channeling New Order in their version.
Elvis Costello's You Belong to Me (released March 17, 1978) from his album This Year's Model pays homage to (or brazenly loots, depending on your perspective) the Rolling Stones' classic The Last Time (released February 26, 1965). Compare opening guitar riffs/verse chord progressions.
DNCE's song Cake by the Ocean (released September 18, 2015) bears a strong resemblance to several songs including Donna Summer's Bad Girls, Falco's/After The Fire's Der Kommissar, and particularly Cake's Never There (released October 13, 1998). DNCE's Joe Jonas has suggested that the title resulted from a mistranslation of "sex on the beach" by a Swedish producer (perhaps it's a thinly veiled referenced to the song's true lineage). Cake by the Ocean and Never There share the same key (E minor), basic verse chord progression (Emin-Amin-B7sus4-B7), and production/arrangement (single lead guitar riff outlining the chord changes).
While X Ambassadors' hit Renegades (released March 3, 2015) mines the same folksy/jamboree territory as the Lumineers and Mumford and Sons, it's chord changes are reminiscent of British rock group Sniff 'n' the Tears' Driver's Seat (released 1979).
Renegades (:00) VS Driver's Seat (:00)
The verse vocal melody to Australian band 5 Seconds Of Summer's single Hey Everybody! (released October 9, 2015) legally samples the verse vocal melody to Duran Duran's signature '80s hit Hungry Like the Wolf (released May 4, 1982). DD's John, Roger, and Andy Taylor are noted in the Hey Everybody!'s credits. Incidentally, Hungry Like the Wolf owes the melody for it's "doo doo doo" to Gordon Lightfoot's If You Could Read My Mind (i.e. "[...] What a tale my thoughts could tell"). [Thanks to Roseanne Dattilo-Schack for bringing this one to our attention!].
Hey Everybody! (:26) VS Hungry Like the Wolf (:11)
Sheppard's hit Geronimo (released February 28, 2014) is reminiscent of several tunes including Phillip Phillips' Raging Fire (released March 3, 2014), Adam Ant's Strip (released November 1983), Simple Minds' Alive and Kicking (released September 20, 1985), and The Cars' Shake It Up (released November 9, 1981). Similarities between the verses to Geronimo, Raging Fire, Alive and Kicking and Strip are: same key (G major), vocal/guitar melodies that mainly utilize the first four notes of the G pentatonic major scale, similar tempos (Geronomo and Raging Fire), and similar rhythms (latin/rumba feel of the bass/drum part).
The verse to One Direction's Clouds (released November 17, 2014) echoes many of the elements of Phoenix's 1901 (released February 23, 2009). Similarities include: same key (C major), tempo, fuzz synth bass lines that move from F to the A (or the IV to the vi), and staccato eight notes from a muted rhythm guitar.
The pre-chorus to Walk the Moon's Shut Up and Dance (released September 10, 2014) shares a similar rhythm and structure as the verse to Cartel's Honestly (released 2006). Both songs are in the key of C# major.
Shut Up and Dance (:58) VS Honestly (:05)
Shut Up and Dance
Key: C# major
Chord Progression (pre-chorus):
C#/F, C#/F, F#, F#,
C#, C#, G#/C, G#/C,
G#, G#, F#
Key: C# major
Chord Progression (verse - second half):
F#, F#, G#, G#
C#, C#, G#/C, G#/C
C#, G#/C, C