ChipFlip
The used market between $150 and $300 is where most people actually shop for a graphics card, and it's also where the advice gets worst. Reviews focus on what's new. At this price you're buying what's old, and the deciding factors are different.
Under $200: accept 8GB and pick on drivers
The XFX RX 7600 at $170 is the safe version of this bracket. AMD's drivers are mature, the card is recent enough to still get attention, and 8GB is enough for 1080p in nearly everything if you're sensible about texture settings.
The Sparkle Arc A750 sits a cent below it at $169.99 and offers better ray tracing plus a wider memory bus. Intel's driver work has come a long way. It's still the choice that carries more variance, especially in older games.
Around $200: the last-generation sweet spot
The NVIDIA RTX 3060 Ti at $199.99 is the interesting one here. Ampere is two generations old now, which is exactly why the price is what it is, and the card still handles 1080p comfortably and 1440p with settings adjusted.
You get DLSS, which matters more at this performance level than at the top of the stack, since upscaling is how you claw back frames when the raw hardware is short.
The thing to check before you buy any of them
Mining history. Cards from the Ampere and RDNA2 era were used heavily for cryptocurrency, and while a mined card isn't automatically damaged, it has run hot for thousands of hours. Ask the seller directly, look for photos of the actual card rather than stock images, and treat a refusal to answer as an answer.
Fan condition is the other tell. Fans are the part that fails first and the part sellers rarely mention.
What I'd buy
At $170, the RX 7600 for someone who wants no surprises. At $200, the 3060 Ti, because DLSS meaningfully extends what the card can do and Nvidia's driver support for Ampere still has years left. Skip the A750 unless ray tracing at this tier specifically appeals to you and your library is modern.