307's sister CDP-950
I snagged a Sony CDP-950 from the SA Thrift Store for $12.99 and it works perfectly: just two small scratches on case. Looks like the laser sled was recently lubed. No mods need to be done to satisfy me (like NOS, upgrading caps or lampization). It replaces a Philips CD-614 which had a TDA1543 and CDM4/19 mechanism.
The 950 has most of the same major circuit components as their legendary CDP-555ESD: The Philips TDA1541, Sony's CXD-1125 (digital signal processor), CXD-1088Q (4x oversampling), CXA-1081M (RF amp), and JRC 5532DD op amps.
As you can see in the last picture I've included (of gkwolfman's CDP-307ESD), the only difference from my CDP-950 is the Error Prediction circuit (circled in red), which is composed of:
IC203 LC6523H-3446 *
Q202 Transistor 2SC3402
Q203 Transistor 2SC3402
Q204 Transistor 2SA1348
R225 Carbon 1K 5% 1/4W
R226 Carbon 100 5% 1/4W
R227 Carbon 10K 5% 1/4W
C214 Elect 22MF 20% 25V
D201 Diode 1SS132lc6523h-3446
This I've gleaned from the service manual, which covers both units. There is no comprehensive description of the added circuit that I can find on the Web.
Update: I found several photos of 307's on the Web. Some have the EP circuit and some don't, but the model number remains the same. The EP function is marked on the front panel display if the unit has it (right next to the 4 Time Oversampling indication).
Also try tweaking RV101 slightly AFTER adjusting RV102 and RV104 (note: 102 & 104 are interdependent: adj one then the other in rotation). I found RV101 made a HUGE improvement in the sound (after having previously done 102 & 104 in Sept 2010), raising the unit's performance from very good to exceptional IMO. See the ADJ photo attached. The best way to do the 102/104 adjustment is if you have a test CD with dropout tracks. I was able to improve it from 0.50mm to 1.0mm with these tweaks. The rv101 is by ear. I recommend a very small adjustment, but mark RV101's original position with a fine tipped marker first, in case it cannot be improved in your case.