If you are looking at low wattage LED's, a constant current source isn't required. A simple dropping resistor or a dropping resistor in series with a variable resistor if you want a dimmable light will work well. You not have the efficiency of a constant current source but for a watt or two, it's not significant White LED's typically run on 3 to 3.5 volts. A 1 watt LED will draw about 300 ma. If a 6 volt D.C. wall wart were used, a dropping resistor of 8 - 10 ohms would limit the maximum current to around 300 ma. Adding a 100 ohm potentiometer in series would allow dimming to about 10% of maximum brightness. Total power drawn would be less than 2 watts.
State of the art LED's are running about 140 lumens/watt with 100+ lumens/watt common. As a benchmark a 60 watt incandescent bulb produces about 800 lumens.