[Ron Ramirez]

Well, since these oddballs are starting to come out of the woodwork, so to speak (where have they been hiding, anyway?), let's document all of them here with all the pertinent/useful info from Philco Furniture History.

Information deemed not useful such as grille cloth part numbers (Philco called it grille silk), part numbers of panels, finish used and packing, as well as packing weights, have not been repeated here.

I should mention at the outset that no production figures are available for any of these. And since dfields69's 655WRX is the first one I'm aware of to ever pop up, all of these must be extremely rare.

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Model WR-5-B

   

Part No. 10178D
Designer - Ben Nash (Benjamin S. Nash, whom Philco used as their main cabinet designer in the mid-1930s. You can see a mention of him, and see a photo of him, here).
Model No. 1829B (6-15-1935) (This date is likely the date when the cabinet design was either submitted to Philco, or approved by Philco for production.)

Cabinet part number - 10178D

Chassis - WR-5
Speaker - P (likely P-21 since the WR-5-F uses speaker S-15; both have 2850 ohm field coils)
First Produced By - Philco Plant #4, July 9, 1935

Dimensions:
Height - 16-7/8"; Width - 12-7/8"; Depth - 8-1/2"

Cabinet Weight - 4-1/4 lbs.

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Model WR-5-F

(no photo available)

Part No. 10175F
Designer - Ben Nash
Model No. 1816 (3-1-1935)

Cabinet part number - 10175F

Chassis - WR-5
Speaker - S-15
First Produced By - Philco Plant #4, August 19, 1935

Dimensions:
Height - 37-7/8"; Width - 23-3/8"; Depth - 11"

Cabinet Weight - 23 lbs.

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Model WR-6-X

   

Part No. 10176C
Designer - Ben Nash
Model No. 1855 (6-20-1935)

Cabinet part number - 10176C
Chassis - WR-6
Speaker - U (not specified which "U" speaker)
First Produced By - Red Lion Cabinet Co., July 19, 1935

Dimensions:
Height - 40-7/8"; Width - 25-1/2"; Depth - 13"

Cabinet Weight - 48-3/4 lbs.

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Model 116WRX

(no photo available)

Part No. 10197A
Designer - Ben Nash
Model No. 1832 (6-19-1935)

Cabinet part number - 10197A
Chassis - 116
Speaker - U (The conventional 116X used speaker U-9. Whether this set did or not is not known.)
First Produced By - Harry A. Prock Lumber Co., July 19, 1935

Dimensions:
Height - 45-1/8"; Width - 28-7/8"; Depth - 15-13/16"

Cabinet Weight - 44 lbs.


Notes: "Boomgates" are mentioned under Grille Silk, which must indicates holes in the cabinet for the acoustic clarifiers.

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Model 620WRF

   

Part No. 10196A
Designer - Ben Nash
Model No. 1826 (6-17-1935)

Cabinet part number - 10196A
Chassis - 620
Speaker - K (The conventional 620F used speaker S-14 with an 1140 ohm field coil. Whether this set's speaker field is of a similar value or not is not known.)
First Produced By - Philco Plant #4, July 23, 1935

Dimensions:
Height - 39-1/2"; Width - 23-3/8"; Depth - 11-1/16"

Cabinet Weight - 21 lbs.

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Model 650WRX

   
Model 650WRX illustration from Furniture History.

   
The OP's Model 655WRX, which is obviously the same cabinet.

Part No. 10198A
Designer - Ben Nash
Model No. 1827 (6-28-1935)

Cabinet part number - 10198A
Chassis - 650
Speaker - U (Interesting. The conventional 650 console and chairside models did not use a "U" type speaker.)
First Produced By - Smith Cabinet Co., July 23, 1935

Dimensions:
Height - 41-11/16"; Width - 26-1/16"; Depth - 14-5/8"

Cabinet Weight - 46-1/2 lbs.

Notes: (1) In Furniture History, it appears to be listed as "650WFX". I believe this to be in error and it likely should be 650WRX. (2) Apparently these products were available for sale throughout the 1936 season, evidenced by the OP's unit having a 655 chassis. That would mean that a 625WRF was likely also produced, but not documented in Furniture History. The 655WRX is likewise not documented.