They are a bit more desirable, though not by a huge margin. They ride better, disc brakes are a simple swap, the cabs are bigger, and they had a arguably more modern V8 option. Plenty of people with the earlier trucks though.
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Welcome to the family of Ford truck enthusiast, Welcome to FTE!! It's a keeper, like your truck, may I suggest that u focus on getting your treasure machanically sound, power trane and brake system; meantime, decide how much time and money u want to put into he/she. Rescued a 65 F100 that was one step removed from the bone yard and it's been my work horse and daily driver for the past 37 years. Don't hesitate asking questions, warehouse of helpful and knowledgeable members. Again welcome.
Getting stuck between gears on a three on the tree is common. I am currently on my 2nd 3 on the tree, and it doesn't run yet, so I can't tell you about it. My previous one I had to push the gear shift up out of first into neutral, and then basically let go, and let it fall. Then push it up into 2nd. If you tried to force it I would jam it between gears every time. I have heard this is a symptom of the bushings being bad, but I don't really know. Hopefully some of the other guys can fill in any gaps or correct me if I am incorrect.
As for the Unibody's someone asked about Unibodies with wrap around windows and NumberDummy gave really good numbers on all of the trucks built from 61 to 64. Look for it.
Is there any area in particular you guys want pictures of? trouble areas? rust prone areas?
The one thing I can't help but mention is it definitely has that old car smell. It reminds me of riding in the back of my grandmothers old car as a kid. What in particular make that smell? is it the seat?