What are your objectives? Are there particular games that you're trying to get better performance from?
8 years is kinda stretching it in terms of getting value out of a drop-in GPU upgrade. I'm not saying don't do it, but as mentioned above, your CPU is going to bottleneck better graphics cards. So a good argument can be made that depending on your objectives and needs, you could consider a full new build at some point in time. Whether that time is now, next year or in 2026.
Realistically speaking, there are some GPU upgrades that could squeeze out very good 1080p performance. IMO something like a used GeForce 2070 would make sense; I have no idea what the street price is, just spitballing here. The maximum 40 series card you should consider is a 4070, but you'll certainly be CPU-bottlenecked. The pros with Nvidia 40 series are power efficiency and feature set/popularity. The obvious con is you pay a premium for the brand. Nobody recommends the 4060 because it just has poor value.
But if you somehow stumble upon a used 4060, 3060 Ti, or Radeon RX 6700 XT on Facebook marketplace for well under street value, those would be reasonable choices for your CPU. Any of these (barely) mid-range cards should work within your power budget.