The Toyota GT86, Mazda MX5, and Nissan 370Z are examples of that. However, looking at how many models were discontinued (Honda S2000, Toyota Supra, Toyota Celica, Mazda RX8), maybe the market opportunity is not as big.
Additional current cars in this category include the Hyundai Genisis Coupe, Nissan 370Z, Porsche Cayman/Boxster, Alfa Romeo 4C, Chevrolet Corvette and BMW Z4. (Criteria: under $60K base price, looks like either a classic sports car or an exotic in my completely subjective opinion, actually likely to appeal to enthusiast drivers, also in my completely subjective opinion)
More previous cars in this category include the Toyota MR2, the second generation of which looked extremely Ferrari-like, Pontiac Fiero, Pontiac Solstice/Saturn Sky/Opel Speedster, Fiat X1/9, Mazda RX-7, Mitsubishi 3000GT.
X1/9 might look a lot like a Ferrari because Pininfarina did the body design. Too bad the rest of the car was typical '70s Fiat (hope you weren't relying on it to get you to work). Which I guess makes it even more Ferrari-like.
Ah, the Fiero, aptly named given its tendency to explode upon impact from the rear. It's what killed one of my father's friend's wives back in the very early 90s.
The Pontiac Fiero had a tendency of catching on fire, in the rear, because of engine failures. Specifically, the 1984 Models with the 2.5l 'Iron Duke' 4 cylinder engine. The connecting rods in the engine would fail, blow a hole in the engine block, leak oil onto the hot engine/exhaust components, and then catch on fire.
The Fiero had several issues but the biggest one was the poorly-protected passenger compartment. If the car got rear-ended, it would likely explode due to how hot the engine ran and there was no suitable firewall to protect the passengers. General Motors, being the jerks that they are, blamed every single fire, including ones that happened at GM proving grounds, on improper owner maintenance.
(Ferrari have since moved a bit more upmarket; the replacement for the 456 is the 612 (so says Wikipedia), which I think looks a bit more like a Porsche Panamera.)
You apparently haven't if you can't see that the newest body model (and there are 2016 Celicas on the dealer lots right down the street from me, $35,000) is a Viper without bubbly-ass wheel wells.
It hasn't been brought back. The GT86/FR-S (AKA Subaru BRZ) is Toyota's current car in the same market segment. I see no reference to it ever having been sold under the Celica name.