Got stuck on Rune Mysteries when talking to Aubury at the rune shop in Varrock.
When talking to him, He asks if you want to buy any runes and you are presented with 3 dialogue options.
You need to click the second one where you give him the package.
The script instead clicks on "Yes please I'd like to buy!", which opens up the rune store.
The script then closes the shop, re-talks to Aubery, and the cycle continues infinitely.
That probably would have gotten the account banned if I left it unsupervised.
Thankfully I was babysitting it and caught it happening.
Edit: it also gets stuck and stops after descending the ladder in the Mage Tower to get to Archmage Sedridor.