I use delays fairly often. The Ranger in my party has the Bully talent and a higher initiative. The Warrior in my party has knockdown skills but a lower initiative. The Ranger frequently delays so the Warrior can knock a critical target down, at which point the Ranger gets the Bully bonus + 100% hit chance on said knocked down target, and since she is going at the end of the turn (and has a high initiative) she's immediately going again at the start of the next turn.
Pew pew pew pew pew pew.
Some opponents like to "protect" other opponents, and it's also better for a squishier party member to wait until all the opponents have burned their turns before unloading on the opponent being protected (usually the opposition's caster).
