Don't say you can't play one song after you read this post, because you then will be able to play 30 plus using the 1-4-5 progression.
Key of F.
F or F-A-C ,A-C-F,C-F-A== 1
Bb or Bb-D-F,D-F-Bb, F-Bb-D==4
C or C-E-G, E-G-C, G-C-E==5
Using these chords alone, the song below can be played. So can sooo many others. Listen to the songs. Try to perceive where the changes are. They usually follow the pattern 1-4-1-5-1. To change keys, simply get the 1-4-5 of the new key and follow the same pattern. Of course this is all very elementary. If you are already past this, you likely can play many songs and just have not put it together.
Jesus Keep Me Near The Cross
F/C-F-A JES- FREE
F/D-F-Bb SUS TO
A/C-Eb-F-A KEEP ALL
A/C-Eb-A ME A
Bb/Bb-D-F NEAR HEAL
Bb/F-Bb-D THE CROSS ING STREAM
Bb/Bb-D-F OSS EAM
F/F-A-C THERE'S BACK TO COLUMN 1
F/A-C-F A PREC
F/C-F-A IOUS FOUNT
C/C-E-G TAIN
GO TO COLUMN 2
F/F-A-C FLOWS
F/A-C-F FROM
C/G-C-E CAL
C/C-E-G VARY'S MOUNT
F/A-C-F TAIN
FILL A/F-A-C, A#/F-Bb-D, C/F-A-C ,D/F-Ab-B, E/D-G-Bb,
F/C-F-A IN
F/F-A-C THE CROSS
Bb/D-F-Bb IN
Bb/F-BB-D THE CROSS
F/F-A-C BE
F/F-Bb-D MY
F/F-A-C GLO
F/C-F-A RE EV
C/C-E-G VER
F/C-F-A TIL
F/D-G-Bb MY
A/C-Eb-F-A RAP
C/C-Eb-G TRED
Bb/Bb-D-F SOUL
Bb/F-Bb-D SHALL FIND
Bb/Bb-D-F ND
F/F-A-C REST
F/A-C-F BE
C/G-C-E YOND
C/C-G-E THE RIV
F/A-C-F ER