Perhaps the best choice?

Jécoute for 40 years records of Kempff, Arrau, Brendel, Barenboim, Badura-Skoda, Serkin, Gilels and some others ... I can not all mention here.

Faced with these huge works to linstar string quartets (see the Budapest II), all the greatest pianists have recorded almost entirely or partially. The conclusion SimPose delle yourself: there are no integral bad. The reviews you read here or elsewhere that will confirm all these great artists have left a great legacy.
We must not forget that this is the shock of the first hearing that created the imprint forever will dictate the preference of a music lover. This explains the final comments and exalted as lon bed here and I respect very much. Jai myself my preference but what you mention here. She did not help you any more than all the other enthusiastic and excessive comments.

So what to choose?

My advice is to choose from the complete integrals.
An integral real must not have holes. Exit Serkin, Richter, Gilels, Pollini and others even if these great artists left critical interpretations, but I think he must discover them in a second time.
Putting aside the oldest to the sound quality, the latest one trying unorthodox approach for a first approach and lon remains in the more unquestioned and available pianists, we have:
Kempff, Arrau, Brendel, Ashkenazy, Barenboim, Kovacevich.
In trying to summarize critical of Diapason magazine, Classica, Le Monde music, rewarded CD Guide, and taking into account the views of JC Hoffelé and P.Kaminski, we have Kempff, Arrau, Barenboim, and Brendel.

Kempff is very classic, a sound a little old.
Arrau a more personal style that can confuse some.
Brendel seems to lunanimité in his Philips recordings of the 1970s.
Barenboim a great pianist.

Price may be the final discriminating factor. These four integrals are very good choice.