I've been getting this question more frequently as the cost of LED headlights has come down out of the stratosphere. They are now just a little more expensive than the best Halogen headlights, and so there is a lot more interest in them. Before you whip out your credit card, there are a couple of things you need to know.
First and foremost, Light Emitting Diodes (LEDs) are still diodes and will work only when the DC voltage polarity is correct. In other words, the minus (-) goes to ground and the plus (+) goes to 12 volts (or 24 volts if your vehicle is so equipped). Herein lies the problem with your FJ60 or FJ62. Toyota diverged from the rest of the automotive world and wired these vehicles with "hot common" for the headlight circuits. So, when you turn your headlights on, 12 volts goes to the "common" connector of the headlight. The other two connectors--the high and low beam connectors--go to the high/low beam selector in your steering column turn signal stalk which completes the path to ground for the headlight high or low beam headlight circuit. What this means for you is that when you install your shiny new LED headlights, the polarity at the headlight will be reversed and the headlights won't work, no matter what the sales pitch said. Swearing won't help either. Neither will rearranging the terminals in the headlight connector.
Secondly, the High Beam Indicator in your dash gets it's 12 volts through the low beam elements in the headlights when the high/low beam selector is on high beam. Even if you could somehow rearrange the terminals in the headlight connector so that the LED headlight functioned correctly (which you can't), the high beam indicator in the dash will never turn on which will fail your safety inspection if your state requires that.
Thirdly, LED headlights are extremely efficient and generate almost no heat. This means that if you ever drive in a snow storm at night, you will be stopping frequently to wipe the snow off your headlights because it won't melt off. Hardly something you want to be doing in those conditions. I believe Truck-Lite makes a military version of their LED headlights with a heater in the headlight bezel, but I haven't heard that any commercial headlights have that. So, if you think you will ever be driving in a snow storm at night, you might want to see if the headlights you have in mind will melt off the snow.
The bottom line is LED headlights are not plug and play for your FJ60 or FJ62. Period. You will need an after market headlight harness specifically built to convert your headlight circuit to ground common instead of hot common. The harness will also have to supply 12 volts back to the high beam indicator in the dash.
