I have a small table light next to my bed which I had a 7W compact fluorescent lamp in. The dark nights and colder house at this time of year meant it was taking a long time to come up to full brightness. I spontaneously swapped it for the first LED lamp that came to hand and was surprised at the brightness. So I did some lux tests, firstly with the CFL after it had plenty of time (over an hour) to come up to full intensity.
The results are clearly in favour of the LED with the light spread being different for both lamps, but the LED being much brighter overall. The CFL is not that old, so although it may have had some light degradation from new, I think the LED lamp is still the clear winner, with the added advantage of being at full intensity immediately at switch-on. The LED lamp also draws a third of the power.