In combat a low roll is a miss. You shot wide of your mark, your sword whiffed throw empty air where the goblin once stood, your magical whatever fizzled out. You were ineffective, and as a result, nothing happens. I don't see how that's a problem.
The problem is when your character is supposed to be a competent fighter. When a kobold shoots wide of swings the sword innefectively it's funny, but for Conan or Legolas or Robin Hood? It's anticlimactic and opposed to the fiction. Now, you should, of course, play the game the way you enjoy it the most, and for some people it can be ROFLing whenever the other player rolls low, or 1, and the GM describes that in a ridiculous fashion that makes your character stand there and feel stupid. But for many others, it is more appropiate to describe a miss more like a near-hit, that didn't connect because your opponent barely parried at the last moment, or perhaps because of an earthquake or gust of wind that threw you out of balance.
Still, even with a more "heroic" description of misses, the combat can be frustrating if "nothing happens" repeatedly, because of a streak of bad rolls. The following house-rule could help at that:
One Must Fall rule:
Whenever a melee attack misses, the target creature gets to inmediately make a melee attack back at the attacker. If that attack misses the attacker gets to attack again and so on, until one of both hits.
Be aware that this rule will unbalance melee combat in favor of the more powerful fighters or creatures (which shouldn't be a great problem in 5th edition, with bonded accuracy). A bunch of peasants attacking a dragon could well kill them all in their own round, just like a band of orcs assaulting a bridge guarded by a high level paladin. It could have unintended consequences I cannot see, but if anyone cares to try, good luck and remember to report back.
