Determining electrode potential Can the anode always be considered as having a lower standard electrode potential than the cathode?
When I was studying galvanic cells, I found that for a number of reactions, it always appeared that the anode(i.e negative potential) mostly had a lower electrode potential than the cathode. Can we say that this is always true or are there some exceptions?
By definition, for a cell to be galvanic, you would need the difference $\ce{E^0_(cathode) - E^0_(anode)}$ to have a positive value. So yes, the standard potential for the anode to have a more negative potential than the cathode. 

Lower and higher are terms that are best avoided when talking about electrochemistry. More positive and more negative are unambigious.