For the 1979 model year, Chrysler shortened the L-platform of the Dodge Omni/Plymouth Horizon four-door hatchbacks from 99.2 to 96.5 in (2,520 to 2,451 mm) in wheelbase to make more sporty two-door with a sloping hatchback called the Dodge Omni 024 and the Plymouth Horizon TC3.

Nothing was changed from 1981 except for a Pentastar emblem on its hood and adding a resonator to the exhaust since the previous model had no muffler, utilizing the catalytic converter as the sole method of engine noise reduction.

For the 1985 model year, the Shelby (with its unique front end) and Charger names were shuffled to reflect the addition of a turbocharged engine.

Two turbocharged Turismos, using the Shelby front end, were seen at Chrysler headquarters with a 'Cuda Plymouth badge, but they were not put into production.

For 1986, a center high-mounted stop light was added, and the 96 hp (72 kW) 2.2 L engine became standard in the base models.

Carroll Shelby bought 1,000 of the last Chargers and equipped them with the Omni GLH's engine and suspension to be sold under this name.

The engine compression was raised for 107 hp (80 kW), and the manual transmission had revised ratios.

Shorter springs, special wheels and tires complemented stronger brakes and a quicker, 14:1, power steering rack.

This engine produced 146 hp (109 kW) and was changed from its first appearance in the Dodge Daytona Turbo during the previous year.

A Garrett AiResearch T3 turbocharger and Chrysler/Bosch multiple-point fuel injection enabled the 2.2 L engine to produce the additional horsepower.

It has a blow-through long runner two-piece intake and a modified turbocharger, reclocked with a different compressor cover.

The Turbo II also received a stronger Getrag A555 five-speed manual transmission in place of the rod linkage A525, which was still fitted to the GLHS models.

The suspension was upgraded with Koni adjustable struts/shocks and uprated Goodyear Eagle GT Z-rated tires.