I know this is a thread about cricketers over-rated, but isn't Barrington terribly under-rated ? He has pretty much the best average among any batsmen who played a considerable amount of time since 1960s (of course till Smith arrived). A player with that impressive a record has to be high quality.
Never saw him play, so can't really speak as to his ability, but I think it's an issue that modern players will certainly have in matching those averages.
Not playing as often is both a pro and a con (in comparison to modern day) for some of the older cricketers. The con is of course that they can't build up form necessarily as easily, but not playing as often or as many matches also offers more of an opportunity for the older cricketers to keep up a higher average.
Ken Barrington's 82 tests had a 58 average. And again, this is of course very selective, but Sachin's career between 1993 and 2002, he played 85 tests for a 62.30 average. Ponting's 87 tests between 1999-2006 yielded a 65.43 average.
In contrast, apart from the first year (1955) where he averaged 17.33 across 2 tests, Ken Barrington's average never once dipped below 40 in any year throughout the remainder of his career. And looking back at my earlier statement, he didn't play THAT many fewer matches than Sachin/Ponting each year (often playing 8-11 vs the 10-14 of the latter two), but basically had a much shorter career.
Modern cricketers play more, they're going to have (more) slumps, and those who play 10-20 years in today's world will inevitably have 2-3 slumps of sustained period of form.
A look at Ken's first class average (533 matches) of 45.63 shows how difficult a very high average is to maintain over an even greater number of matches (though inevitably first class matches will come with the added caveat of players playing too young/too old/out of form etc).