There are many words that rhyme with "eyes." Here are some examples from various sources:
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RhymeZone: despise, sighs, pies, fries, ties, dies, buys, size, prize, lies, wise, skies, cries, tries, highs, etc.
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RhymeZone: -lyze, -wise, ais, ayes, bies, bise, blies, breiz, bries, brise, brize, buys, buys, chi's, clise, cries, crise, di's, dies, dise, dries, dyes, eis, feize, flies, fries, frize, guise, guy's, guys, heize, heyes, highs, hise, i's, ise, jewise, kise, kleis, knies, krise, kyes, lies, lise, mies, mize, nies, nighs, nuys, pies, plies, etc.
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WriteWithChorus: arise, rise, compromise, realize, analyze, wise, recognize, surprise, apologize, disguise, etc.
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7ESL: arise, allies, advise, replies, demise, devise, revise, unwise, defies, belies, skies, cries, tries, size, wise, lies, guys, flies, prize, thighs, etc.
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RapPad: chastise, polis, streetwise, downsize, incise, highrise, complies, etc.
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YourDictionary: ayes, buys, cries, dies, dries, flies, fries, guise, guys, highs, lies, pies, prize, rise, size, spies, ties, tries, wise, etc.
As you can see, there are many options to choose from depending on the context and desired rhyme scheme.