Here's an example. Level 1 Fighter. Move and attack. That's your options. Level 2, Action surge once per short or long rest adds an additional attack. You also have Second Wind. Not many options, but that's good. You're learning the game and learning how to best use Action Surge and Second Wind. Level 3, you gain Maneuvers as a BAttlemaster, or spells as an Eldritch Knight. Great, now you suddenly have more advanced maneuvers and abilities. You're growing as a character and as a player. Now you can learn the 3 new maneuvers you got and how they add to your arsenal of abilities. Skip a few levels. You now have more combat maneuvers to choose from each round plus an additional attack action per round. SO many more options. In one round, you could attack twice with different combat maneuvers and then use Action Surge to attack a third time with yet another combat maneuver. You are no longer stuck with just move and attack like at Level 1. You've got quite a number of more options to choose from.
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Well said, and I this is the way I what I would like to see them do. I think this makes levelling up much more interesting.