That depends - if you are talking 1AA lights on regular batteries (e.g. alkaline, NiMH), then the answer is no, they won't have more output than your 3AA MiniMag LED. If you are talking about the 14500 Li-ion rechargeable versions, then yes they will blow it away. The RCR lights should be similar to the 14500 ones.
According to Quickbeam's FR.com numbers, output of the Fenix L1DCE on Turbo is only about 10% brighter than the 3AA MiniMag LED (i.e. 44.5 vs 40). And I doubt any of the Kai/DX lights will match the L1D-CE on regular batteries.
If you look at my review of the high-end multi-stage lights (i.e. >$25), the only one that outputs more than the L1D-CE on regular batteries is the Rex 2.0:
Rexlight, DX X.1 & X.V, Jetbeam MkIIX & CLE, Fenix L1DCE review: RUNTIMES + BEAMSHOTS
As an aside, my numbers correlate very well with Quickbeam's, although you need to increase my results by about 10-15% to get a close match. So, the 3AA MiniMagLED would be about ~36 on my output scale, for comparison.
I've got a number of the <$20 DX/Kai multi-stage and single-stage Cree/SSC lights on order, and will do a similar runtime review when they come in.