Yes, many/most aircraft with any aerobatic capability would be an obvious start (consider an aeroplane flying inverted, or doing an outside loop, or an inverted spin/flick). Look at the range of deflection of a typical all-moving tailplane which can be anything from +/-6degrees to +/-12degrees or more. If it is suggested that full "down" would still have the tailplane at a positive AoA it would mean that the S&L trimmed position would be -3 to -6 degrees. Do a few quick sums on the associated trim drag and it's easy to see that such a situation would never be tolerable/affordable for real operations.
And the very example you cite - pushing the stick to lift the tail of (say) a cub or chippie on take off. Clearly the tailplane must be lifting here, and if it can do it at such a low airspeed then it must have much more lifting power at flying speeds.