VerilogBoy is a project to fully implement original GameBoy hardware in FPGA. While it seems like it still has a ways to go before it might be considered a good solution for playing cycle-accurate GameBoy games on a large screen, it’s certainly seems to show some potential to that end. The project creator plans to eventually implement dedicated hardware to create a brand new handheld VerilogBoy which would join the ranks of modern retro console implementations like the SuperNT. No word on whether it would support loading games from original cartridges yet. Gameboy Color support is also on the roadmap.
Anyone looking to experiment with FPGA Game Boy cores can check out the MiSTer implementations: https://www.retrorgb.com/mister.html