I think the answer to my question already lies within the datasheet that you've just posted:So I'm guessing that no opamps exist out there with the ability of accepting inputs beyond the limits of its power sources?
The absolute maximum input voltage is 300 mV beyond either supply rail at room temperature. Voltages greatly exceeding this absolute maximum rating, as in Figure 54, can cause excessive current to flow in or out of the input pins possibly affecting reliability.