#3 is I Hear a Rhapsody, by Jimmy Dorsey, with Bob Eberly on vocals. I couldnt find a recording of that to link to. The good news is did find a link to -
#2 I hear a Rhapsody. This version is by Charlie Barnet and Bob Carroll. It is not unusual to see different versions of the same song on the best seller lists in that era. Finally,
#1 The Artie Shaw blockbuster Frenesi. This was one of the biggest songs of 1940 and still has legs in the new year. It has been #1 every week so far in January and will remain at the top spot into March.