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It is not beyond our ability, as "detecting earth-sized planets" was the explicit mission of the Kepler spacecraft.

I guess I should ask a different question then. Have we detected any earth-sized planets? I can only remember hearing about super-earths and gas giants, and I generally read the exoplanet discovery announcements when I see them.

We have indeed. This page has some that are also in the habitable zone: https://en.wikipedia.org/wiki/List_of_potentially_habitable_...

Note that, while some are super-earths, others like Kepler-438b or the planets in the TRAPPIST-1 system are Earth-sized or smaller.

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