The things on my list to make in the near future are outdoor furniture, mid century furniture, and probably a host of cutting boards. That's not to say that I wont dabble in other things at some point. I can see myself needing to smooth a top or take the wobble out of a cutting board.
The two planes in the links are quite different. The #5-1/2 has a wider blade and may be less useful than a #5 jack plane with a 2" blade.
If you are planing on making cutting boards with end grain surfaces, the #62 is a good choice. You might want to consider an extra blade or two to camber one more like a scrub plane's blade for knocking down the wobble of a cutting board and another to have a higher angle bevel to fight tear out in difficult woods. A low angle bevel up plane excels on end grain. That was my main reason for buying an LN #62.
If you choose a bevel down jack plane you may want one extra blade to camber for the quick removal of twists and other wobble makers. A #5 or #5-1/2 are not the best smoothers, but they can do the job.
Jack planes, as in "Jack of all trades" are very versatile and are able to do almost anything that they are needed to do. They are not as good at smoothing as a smoother, nor are they as good at jointing as a jointer. But in trained hands they can do the jointing a smoother would be hard pressed to do and can do the smoothing a jointer would have trouble doing. That is why they are one of the most common planes found in yard sales and other such markets.
jtk
"A pessimist sees the difficulty in every opportunity; an optimist sees the opportunity in every difficulty."
- Sir Winston Churchill (1874-1965)