Probably an NVIDIA GeForce GT 710/GTX 745 OEM, AMD Radeon R7, or even an older NVIDIA T400 could run the PS2 and probably be fine if you didn't upscale or do anything else.
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If you are looking for something fairly cheap, around 60 USD (I see you're in Brazil, so I have no idea about prices there) the MSI AMD Radeon RX 480 8GB GDDR5 gpu would be a good buy for retro gaming.
The weakest would probably be an NVIDIA Quadro M1200 Mobile, but that is a professional mobile GPU from 2017.
If you want to find the cheapest available for building or upgrading a desktop, using this PCPartPicker filtered list should help you find what you are looking for in your local region:
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