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I was sufficiently intrigued by bjr89's comment, on AQR funds, that "they pretty much all underperform their benchmarks." Eventually it got to me, to the point where I was willing to point and click and copy and paste fifty-six times in order to find out the answer. As is so often the case, it's tricky to figure out how to make a fair summary of the data. The most difficult problem for me is that quite a few of AQR's funds list two benchmarks--for example, QCELX, ASMOX, ATIMX, and ATSMX are compared both to the Russell 2000 and the Russell 2000 Growth index. Also, for quite a few they list several different returns having to do with taxes.
Anywhere, here's what I did. I got data for every AQR fund listed on their Total Returns page (except QVPIX, the Volatility Risk Premium Fund, for which no data is shown). I obtained returns since inception. I ignored all "returns after taxes" lines (thus in every case using a number favorable to AQR). I went to the fund's page and opened the "Standardized Performance" tab. If two benchmarks were shown, I entered two lines in my spreadsheet, listing the fund twice. I copied the benchmark name, in some cases abbreviating it and/or normalizing it when they used slightly different names for the same benchmark index. Finally, I sorted the results by benchmark name (which also groups funds by general category) and charted them.
I tried to be as objective as possible, simply using AQR's data with as little selection or "processing" (other than calculating performance relative to benchmark). Or rather, I tried to do this for the first chart.
In many of the cases where a fund outperformed its benchmark, the benchmark was "Bank of America ML 3 Month T-Bill Index." I find it disturbing that a fund company is allowed to benchmark a fund like QSPIX, with an intentionally targeted volatility of 10%, against a benchmark with a volatility of 3%; I can't regard that as appropriate. So, after doing the chart "straight," I editorialized by adding a second chart from which I arbitrarily removed every fund benchmarked against Treasury bills.
In calculating averages and percentages I just took the numbers and counts as I had tabulated them, not trying to do anything about funds with two benchmarks being counted twice.
I calculated "performance relative to the benchmark" as the "geometric difference." I could have just subtracted the numbers and it would make virtually no difference, but I think "geometric difference" is more strictly correct. The geometric difference of X% "minus" Y% is (1+X%)/(1+Y%)-1. For example, the geometric difference of 12% and 2% is 1.12/1.02 - 1 = 9.8% (instead of 10%).
No, I haven't memorized the AQR tickers, but after fiddling around with Excel's charts I just could not find any good way to get the names onto the charts. You'll just have to look them up, but you should be able to guess the general category from the benchmark.
Here is the result for the full list:

27% beat their benchmarks, 73% failed to beat their benchmarks, and the (raw, arithmetic, double-counting some funds) difference from the benchmark was -1.05%.
If we throw out the funds that benchmark to T-bills, we see this:

17% beat their benchmarks, 83% failed to beat their benchmarks, and the average difference from the benchmark was -1.41%.