For 5e, I use the following distance categories.
• Reach, Melee Range (within reach, typically 5 feet but includes same space and extended reach)
• Near, Close Range (within 30 feet, within Move of Speed 30, all Thrown weapons)
• Far, Mid Range (within 100 feet, but 60, 90, 120, and 140 feet round out to within 100 feet, and reach by Dash or Run)
• Bowshot, Long Range (within 300 feet, accurate missile weapons, Dimension Door and Ice Storm spells, etcetera)
• Remote, Unreachable (beyond 1000 feet)