I'm aware that 'peruse' might be considered a contranym. RHK Webster's lists the contrasting senses in the order:
to read through with thoroughness or care: to peruse a report.
to read in an often desultory way.
From the AHDEL usage note at the link, the Webster's sense 1 is the traditionally accepted one, but the second sense is growing in popularity and acceptability.
Recently a friend of mine (who tutors students for the SAT and GRE) said that there was another equally cool word, say W, whose 'non-traditional' definition is the 'opposite' of 'non-traditional' peruse and whose traditional definition is the 'opposite' of traditional peruse. That is, W's original and primary sense is "to look over or through in a casual or cursory manner" but its increasingly common ("informal") definition is "to examine or consider with attention and in detail".
Does anyone know what the word W is?