The "sleeper" and "tuner" shit is why I always ask whether people want an actual sports car or just a fast car. Drags are very American and most people don't do any more with their powered-up cars than highway pulls and occasional strip days, but an actual sports car should be able to handle well AND go fast - reliably.
Comparing road racing (on the track) to the dragstrip is like comparing tossing a football around to being in the NFL. I try to give the methanol single-digit guys some credit, but on the whole drag racing is babby shit compared to the track. Road track is where you actually learn to drive and get the absolute most (fun) out of your car. It doesn't hurt that a good track car will also be an absolute joy to drive on twisty roads.
It's for these reasons that objectives of ownership need to be considered. If you just want something to fuck around with, the choices are practically infinite. If you want a track weapon, or a weekend car that doubles as one, the choices are far more limited and the most practical (read: cheapest) ones are large-displacement coupes on FR platforms (MR/RR are good too but tend to stray out of the "practical" descriptor). FF cars can handle well off-throttle but they'll always be at a competitive disadvantage around corners, and they suffer certain traction issues that can't really be overcome because physics. On top of that, they tend to have weaker drivelines simply because they don't come with a lot of power from the factory. Modern AWDs are pretty sick, they don't understeer and plow like they used to, but they're less reliable, more complex, and weigh more than FR.
I always wanted a turbo Miata. There's a Mazdaspeed factory turbo that's practically impossible to find. I saw one listed a few years back at a great price but it was gone when I called (probably gone 5 minutes after listing tbh). Aftermarket forced induction is more popular for these than it used to be, and that'd be pretty sick. The Miata is a great introductory track car with tons of support, so with some extra power it'd be wild, but you're gonna run into driveline issues there too. Actually the Mazdaspeed 3 is a pretty solid option for a tuner FF car too, good luck finding a clean one though.
The Honda S2000 slipped my mind earlier because it's underpowered for serious track use, but that's a great chassis and you can probably find clean ones. It's not exactly slow, but referring back to sports car basics (handle and go fast reliably) it'll always be at a disadvantage to bigger engines.
The first gen C6 (LS2) will pull over 1g cornering with stock-size 200-treadwear tires on it. I'm sure the LS3 redesign and the C7 will too. I'm not a vettefag at heart but it's hard to deny the price/performance of the later gens. A basic supercharger setup will reliably produce 600whp on pump gas. That's more power than basically anyone except for pro drivers can really use, and in fact it'd overpower the stock chassis and call for brakes/suspension/bushing upgrades.