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[2samiam]

That was the first models of the mopar turbos. I agree they did have problems I have heard of this. These turbos also only had a max boost of 7psi.
Those would most likely be the
CHRYSLER New Yorker 84-87 2.2L GAR TB0335
CHRYSLER Town & Country 84-87 2.2L GAR TB0335
DODGE 600 85-87 2.2L GAR TB0335
DODGE Daytona Shelby 84-87 2.2L GAR TB0335
DODGE Lancer 85-87 2.2L GAR TB0335
DODGE Omni 85-87 2.2L GAR TB0335---this model I owned...
DODGE Shadow 87 2.2L GAR TB0335
PLYMOUTH Caravelle 85-87 2.2L GAR TB0335
PLYMOUTH Sundance 87 2.2L GAR TB0335
from what I could find that turbo never found it's way into the labaron.

If you are looking to turbo most of their later turbo's were also water cooled which helped with the idling before shut down thats why I recommended the early 90's turbo's. Could install a turbo timer for this purpose for about $85.00
better late 80's early 90's turbo include
CHRYSLER LeBaron 89-92 2.5L MHI TE04H
CHRYSLER LeBaron 88 2.5L MHI TE04H
CHRYSLER New Yorker 88 2.5L MHI TE04H
CHRYSLER Town & Country 88 2.2L MHI TE04H
DODGE 600 88 2.5L MHI TE04H
DODGE Aries 88 2.2L MHI TE04H
DODGE Caravan 89-90 2.5L MHI TE04H
DODGE Daytona 89-92 2.5L MHI TE04H
DODGE Daytona Shelby 88 2.2L MHI TE04H
DODGE Lancer 89 2.5L MHI TE04H
DODGE Lancer 88 2.5L MHI TE04H
DODGE Shadow 89-92 2.5L MHI TE04H
DODGE Shadow 88 2.5L MHI TE04H
DODGE Spirit 89-92 2.5L MHI TE04H
PLYMOUTH Acclaim 89-92 2.5L MHI TE04H
PLYMOUTH Caravelle 88 2.5L MHI TE04H
PLYMOUTH Sundance 89-92 2.5L MHI TE04H
PLYMOUTH Sundance 88 2.5L MHI TE04H
PLYMOUTH Voyager 89-90 2.5L MHI TE04H
I apologize if the Liter are crossed on any of these years. You can tell by the manufactures marks on the turbos.
The turboII models had intercoolers starting in 88 I believe.

There are other turbo models used on some models of chrysler cars not mentioned above.
CHRYSLER Shelby CSX-Daytona/Baron GTC/Shadow ES 89-90 2.2L GAR TB03 VNT (variable nozzle)
This one was suppose to be hot buy acting like a small turbo and change the fins at higher turbo speed to act like a large turbo but if dirt it would stick which wasn't good.

You could try and find a toyota turbo ct26 they were made by toyota. I heard that trying to modify this turbo to work with anything else would be tough but that would probably consist of making a custom flange. These were used on about all the turbo toyota models.
Also if jumping to buy a toyota turbo double check before you buy, the toyota camry DIESEL was turboed it is a ct20 you don't want this one.

The mazda turbo's are the made by IHI and I think from what I can find this is the same part number turbo that the gl-10 subaru uses. There are two turbo's that match the rhb52w and one is only recommended for 1.0l-1.5l engines. The other is specified for 1.4l-2.2l IHI VC-32 which is also water cooled.
MAZDA 626, MX6 88-92 2.2L IHI RHB52W
MAZDA 323 GTX turbo 88-89 1.6L IHI RHB52W (water)
FORD T-Bird 87-88 (water) IHI RHB52
FORD Probe GT 88-92 2.2L IHI RHB52W

You could even possibly get a mitsu. MHI td25 or td04 or td05 to work also if you can find one.
MITSUBISHI Galant (Auto) 88-94 2.2L MHI TD04
PLYMOUTH Laser (Auto) 89-94 2.0L MHI TD04
PLYMOUTH Laser (Manual) 89-94 2.0L MHI TD05H
MITSUBISHI 3000GT VR4 - 2x MHI TD04H
MITSUBISHI Eclipse (Manual) 95-98 2.0L MHI T25 (45 trim)
MITSUBISHI Eclipse (Auto) 90-94 2.2L MHI TD04
MITSUBISHI Eclipse (Manual) 90-94 2.2L MHI TD05H
EAGLE Talon (Manual) 90-94 2.0L MHI TD05H (45 trim)
EAGLE Talon (Auto) 90-95 2.0L MHI TD04
EAGLE Talon (Manual) 95-98 2.0L MHI T25 (45 trim)
CHRYSLER Laser (Auto) 90-94 2.2L MHI TD04
CHRYSLER Laser (Manual) 90-94 2.2L MHI TD05H

There are also Volvo turbos out there those were designed for a 2.3l engine and may have more lag than desired.

I was just recommending a turbo that was very popular and easy to find for about everyone. Chrysler sold a lot of these cars for many years. I wouldn't wish blowing a turbo or blowing an engine on anyone sorry if I wasn't more specific hopefully this will help for all those looking for some info.