((Ahm... I have been told to consult your opinions in regards to taking over champions... The one I am interested in is Varus, seeing as he's been missing for three weeks and no one has yet claimed his position.))
What items do you prefer summoners to build you on the field?
I have no specific preference, so long as the items in question improve my "Ability Power". My Death Augment is more or less the standard optimization for me on the Fields, as it grants much "Ability Power" and a percentage of damage over time for my Death Ray. Rabaddon's Deathcap is extremely viable and grants a significant amount of "Ability Power". Sorcerer's Shoes enables my spells to ignore a certain value of whatever magical resistance my opponents might seek to improve, though an equally good means for that is a Void Staff, as it not only ignores a percentage of my opponents' resistance but also grants a fair amount of "Ability Power".
However, I have also been given certain items to grant me sustainability sometimes as well. For example, a Thornmail for those foes that have a high attack speed, or even a Banshee's Veil for magical resistance and nullification of a single spell or ability. I can be fairly "tanky", as they say, but you can see that it would come at the price of damage.
Ultimately, it all depends upon what you, the Summoner, are interested in equipping me with. I'm not very particular, and I am fine with trying anything at all.