When converting Pathfinder, which is fairly close to the same as 3.0/3.5, I find the nearest equivalent for the monster in the 5th edition Monster Manual.
Then, I will add one thing (at most) to make sure the feel of the monster translates - but I won't add full class levels or feats. So if a monster in a high level adventure were a fighter, I might give the 5th edition nearest equivalent a fighter feature like Action Surge or an extra attack, but I won't give all the features gained by X levels of the fighter class. If the creature were a spellcaster, I'd give them a handful of their bigger/flashier spells rather than a full spell progression.
Then, if I am feeling concerned about CR relative to level, I check and make sure that the encounter isn't out of line for whatever level of party I plan on using it with - but really so long as the CR of the monster doesn't go way above the level the characters will probably be, I find things work out just fine because 5th edition isn't balanced on a knife edge so it doesn't completely collapse if things are only a small bit off the mark.