I noticed that many casinos promise fast payouts in words, but in fact they delay for 2-3 days, or even a week. I already waited for almost five days once, then "the documents didn't fit". I'm looking for a platform that actually withdraws on the same day, especially if the amount is small. Is this even possible?

I understand you completely — I have encountered such "promises" myself. Now I play on Pin-Up casino — and they really do withdraw quickly there. With a verified account, payments of up to €1,000 come within a couple of hours. I even applied at night a couple of times — the money came in the morning. Support is always online, answers without templates. It is convenient that all popular payment methods are available — cards, crypto, e-wallets.