Argyle King
Legend
There are a number of ways to accomplish what the OP is talking about, but they're typically a radical enough departure from how D&D works that you're better off with a different system.
Though I'm not suggesting it cannot be done. I remember the E6 (or was it L6?)
discussions about the 3.5 rules.
There are systems which use bell curves rather than a flat roll. This can be done in 5th Edition by using 2d10 instead of 1d20. You might also consider using the optional rule for Proficiency Dice instead of flat bonuses.
There are systems which don't have D&D style levels at all. I'm not quite sure how you'd do this in 5th Edition, but looking at how E6 was accomplished with the 3.5 rules might be a good place to start.
Though I'm not suggesting it cannot be done. I remember the E6 (or was it L6?)
discussions about the 3.5 rules.
There are systems which use bell curves rather than a flat roll. This can be done in 5th Edition by using 2d10 instead of 1d20. You might also consider using the optional rule for Proficiency Dice instead of flat bonuses.
There are systems which don't have D&D style levels at all. I'm not quite sure how you'd do this in 5th Edition, but looking at how E6 was accomplished with the 3.5 rules might be a good place to start.