I've heard from a few sources claiming the Osborne computer was the worlds first portable computer.
Is there a consensus on this?
I've always thought it was the HP-65.
-J
Really depends on your definition.
First computer to be portable in any capacity (and commercially available)? Probably the
Packard-Bell PB-250, an early mini that could be powered off batteries, introduced in 1960. Also probably the first digital, electronic general-purpose computer that could fit on a desk (good luck doing that with an LGP-30). By 1962, there were services offering PB-250-equipped vans to provide on-location debugging of industrial control systems.

First pocket sized computer? Probably Texas Instruments' 1961 Semiconductor Network Computer, developed for the Air Force and shown in the 12/61 issue of Computers and Automation.
First general-purpose computer an individual could afford and take with them? Hard to say.
Probably the most realistic answer would be something like the HP 9830A, a """calculator""" (that could also be used as a desktop, in HP's own words) introduced in 1972 that had BASIC resident, an alphanumeric keyboard and display, cassette drive, and carrying handle.
You could probably haul a late '60s small mini around like the General Automation SPC-12 if you really had to. In fact, here's some pictures from a 1968 brochure of it being carried around and used as a primitive (and very expensive) desktop computer. At only 29 pounds, this thing was almost half the weight of the "portable" IBM 5100 from 1975, and about the same price, so that gives it an edge in my book!

(If only that guy took that ASR-33 off its stand and placed it on top of the mini, this would be a 100% desktop setup...)