So I found this on the main LOTRO boards, but I’ll also post it below since it is pretty short too. Virogar on the boards posted this.
Grand Stairs – Get to Nardur the Shield within 10 minutes of triggering boss 1
Forges – Kill the final boss within 30 minutes of triggering the first boss
16th Hall- Don’t kill any bugs on The Lost One (last boss)
Dark Delvings – Fight the last boss in the dark, don’t turn on any lights
Fil Gashan – Kill 2 or less Sentries on the way to the boss
Skumfil – Kill the boss at the bottom (need Stinking Ward)