No op-amp is really good at driving capacitive loads. The usual advice, in case a capacitive load cannot be avoided, is to de-couple the capacitive load from the feedback, by connecting a significant resistance in series with the op-amp output. This does affect the design of the feedback network, the frequency response, and the phase response. Remember, for stability, you need to avoid inverting the feedback phase, so for all frequencies where gain is >1V/V, the total amount of phase shift needs to be no more than about 120 degrees (for 60 degree phase margin). A capacitive load chews up 90 degrees of that phase budget, leaving only 30 degrees for the op-amp and the feedback network. This is generally bad practice.
So, an op-amp with poor output characteristics (modeled as a relatively high internal output resistance), would be able to tolerate driving a small capacitive load without the need to connect an additional external series resistor, because in that case the op-amp's internal source resistance is high enough. I don't think anyone deliberately designs an op-amp to have poor output characteristics, especially when it's easy to increase the effective output resistance just by adding a resistor in series.
Putting it in marketing terms rather than engineering terms, what you want is probably something in the "precision op-amp" category. These favor low input offset voltage, as you can see from the fact that they advertise the entire category in terms of Vos and its temperature coefficient. The tradeoff is that gain-bandwidth product and settling time may be worse. You may also need to consider further isolating the capacitive load using a transistor in emitter-follower configuration.
Another marketing term to look into is "line driver"; something that is intended to drive a big load without using any feedback. The application these are designed for is driving long lengths of cable in an industrial setting, so the capacitive load is unavoidable. These sacrifice the ability to precisely regulate the voltage on the load, but if all you want to do is drive some digital on/off keying through a mile of twisted-pair cable, that's what to look for.
