Hiya!
Do you prefer the game to have a huge amount of Skills or a small amount of Skills?
Hmmm...
An example of a few Skills would be combining Jump; Swim; Climb into Athletics.
An example of a lot of Skills would be dividing Athletics into Jumping; Swimming; Climbing; Running, etc.
If a game has more Skills for your character to learn, such as Fishing; Hunting; Farming; Animal Husbandry, etc, does that effect your interest in the game?
Ahhh....ok, based on your examples, for D&D 5e, I'd go with "Lots".
Of course, I wouldn't do it that way. I'd have Skills and Specialities or Focuses. So there would be one skill, "Athletics", but a PC could specifically develop some area of Athletics to get an additional bonus. I would also make a distinction between "Trained" and "Untrained".
Athletics, for example, would have an "Untrained" and a "Trained" description. In the Trained one, it would say something like "Someone Trained in Athletics knows how to swim, tie specific rope knots for climbing, and the value of stretching before and after strenuous physical activity". So if you didn't choose Athletics, you wouldn't know how to swim or tie specific knots.
What I wouldn't do, is have a BUNCH of 'related' skills be separate (re: "Athletics, Jumping, Running, Swimming, Climbing, Tumbling, Dodging, Juggling, Balancing-Spoons-on-your-Nose, etc").
^_^
Paul L. Ming