Hello!  How are you?  I’m well, thank you for asking.  Oh, you’d like me to list a few songs for you?  Sure, I can do that since you asked so nicely.  Actually, how about I just name all the songs?  I’ll bold the new ones for you:

After the Storm
All Along the Watchtower (Bob Dylan cover; Dave Matthews, Tim Reynolds, Marcus Mumford)
Amazing Grace
Awake My Soul
The Banjolin Song
Below My Feet
Broken Crown
The Cave
Come Thou Fount of Every Blessing (Sufjan Stevens)
Cousins (cover of Vampire Weekend)
Days/This Time Tomorrow (collaboration with Ray Davies)
Dance Dance Dance (cover of Neil Young)
Dust Bowl Dance
The Enemy (Wuthering Heights soundtrack; not yet available)
England (cover of The National)
Feel the Tide
Ghost
Go To Sleep (cover of The Avett Brothers)
Golden Slumbers/Carry that Weight (cover of The Beatles)
Hey Jude (cover of The Beatles)
Hold On To What You Believe
Hopeless Wanderer
I’m Not Alone (cover of Calvin Harris)
I Gave You All
I Take Your Hand (The Wedding Band)
I Was Young When I Left Home (Bob Dylan cover; The Punch Brothers/Marcus Mumford)
Lady of the River (with King Charles and Cadillac Sky)
Liar
Little Lion Man
Lover of the Light
Lover’s Eyes
Not in Nottingham (from Disney’s Robin Hood)
Nothing is Written
Reminder/My Love Don’t Fade Away
Roll Away Your Stone
She Said Yes (The Wedding Band)
Sigh No More
Sister
Susie (The Wedding Band)
Take ‘Em Away (OCMS with Marcus Mumford)
Tell It To Me (with King Charles and Cadillac Sky)
This is Me (Ben Lovett, GOTR)
Thistle and Weeds
Thumper (The Wedding Band)
Timshel
To Darkness
Unfinished Business (cover of White Lies)
Untitled/Home
Voices
Wagon Wheel (cover of OCMS)
Where is My Heart?
Whispers in the Dark
White Blank Page
Will I Praise Again (Marcus Mumford)
Winter Winds
Wretched Man (Marcus Mumford)
You Ain’t No Sailor (Marcus Mumford)

Thanks for your kind question, Anon.  I hope this helps! :)

EDIT - Please note that this list is out of date.  For the most up-to-date list, click here or click “Song Finder” in the left sidebar of this blog!

Hi and thank you for the question!  Here is a list of all the Mumford and Sons songs I can find, as well as everything they’ve covered (I’m sure there are more, but this is all I personally either have or know of):

After the Storm
All Along the Watchtower (Bob Dylan cover; Dave Matthews, Tim Reynolds, Marcus Mumford)
Amazing Grace
Awake My Soul
The Banjolin Song
Below My Feet
Broken Crown
The Cave
Come Thou Fount of Every Blessing (Sufjan Stevens)
Cousins (cover of Vampire Weekend)
Days/This Time Tomorrow (collaboration with Ray Davies)
Dance Dance Dance (cover of Neil Young)
Dust Bowl Dance
The Enemy (Wuthering Heights soundtrack; not yet available)
England (cover of The National)
Feel the Tide
Ghost
Go To Sleep (cover of The Avett Brothers)
Golden Slumbers/Carry that Weight (cover of The Beatles)
Hey Jude (cover of The Beatles)
Hold On To What You Believe
Hopeless Wanderer
I’m Not Alone (cover of Calvin Harris)
I Gave You All
I Take Your Hand (The Wedding Band)
I Was Young When I Left Home (Bob Dylan cover; The Punch Brothers/Marcus Mumford)
Lady of the River (with King Charles and Cadillac Sky)
Liar
Little Lion Man
Lover of the Light
Lover’s Eyes
Not in Nottingham (from Disney’s Robin Hood)
Nothing is Written
Reminder/My Love Don’t Fade Away
Roll Away Your Stone
She Said Yes (The Wedding Band)
Sigh No More
Sister
Susie (The Wedding Band)
Take ‘Em Away (OCMS with Marcus Mumford)
Tell It To Me (with King Charles and Cadillac Sky)
This is Me (Ben Lovett, GOTR)
Thistle and Weeds
Thumper (The Wedding Band)
Timshel
To Darkness
Unfinished Business (cover of White Lies)
Untitled/Home
Voices
Wagon Wheel (cover of OCMS)
Where is My Heart?
Whispers in the Dark
White Blank Page
Will I Praise Again (Marcus Mumford)
Winter Winds
Wretched Man (Marcus Mumford)
You Ain’t No Sailor (Marcus Mumford)