The differences between the LN and the Veritas are not minor, but are significant.
First of all, both are essentially based on the Stanley #62. The LN, in LN-tradition, has recreated this plane using better materials and higher tolerances. Nevertheless, they have retained all the same features, for better or worse. (That is not a criticism - we all love LN for their attention to the historic).
Veritas took the basic concept and redesigned the plane. Where the original #62 was essentially the same size (length, width and mass) as a Stanley #5, Veritas have moved it up a notch to a #5 1/2 (not really, but close - the Veritas is longer, wider and heavier). The LN has a 2" wide blade and the Veritas is 2 1/4" wide. While the extra width does not seem much, the extra mass is noticeable, and especially desirable when planing both hardwoods and endgrain.
The Norris-type adjuster on the Veritas is a real adjuster - it moves the blade laterally as well as fore-and-aft. The LN does not move laterally. Not a biggie, however, as I still am apt to fiddle my Veritas with fingers.
But the Veritas has two other improvements that are worth the entry fee: most significantly, the Veritas has a depth stop for the adjustable mouth. This saves the edge of your blade getting slammed, and it enables you to preset and keep the mouth size of your choice. A Big One.
While on the issue of the mouth adjustment, I really find the LN/Stanley system to be difficult to use - it is sticky and requires two separate adjusters to work. The Veritas is intuitive, simple, easy-to-use. One knob does it all.
The other important improvement in the Veritas is the addition of side set screws. These do two things. Firstly, they provide support for the blade and keep it from moving when you slam into a hard object, such as endgrain on a shooting board. Secondly, they provide a way of returning a newly-sharpened blade back to its previous position.
I could also point out that the sides of the Veritas are higher than the LN, which translates into better support when used for shooting.
There are two features on the LN that are more endearing than that of the Veritas. The first is that the LN is a prettier plane. It is - no question. Brass and traditional looks. The second is that there has been some controversy over the upright Veritas totes. It is true that these look unaesthetic compared to the traditional Stanley design. But they work very, very well. It is designed to complement a heavier plane that is used on a more modern, higher workbench. If you do not like it, make another - after all you are a woodworker!
Regards from Perth
Derek