I doubt it is possible to find non-controversial examples of anything, and especially of things plausible enough to be believed by intelligent non-experts, outside of the hard sciences.

If this is true, the only plausible examples would be such as "an infinity cannot be larger than another infinity", "time flows uniformly regardless of the observer", "biological species have unchanging essences", and other intuitively plausible statements unquestionably contradicted by modern hard sciences.