There's a rule against players trading their starting gear. They can sell each piece of starting gear for 50 gold, but they can't give it to another hero. This is something that's always annoyed me for largely irrational reasons, because I can see why such a rule exist. If nothing else, it allows the starting gear to practically be considered an intrinsic part of the class, and helps designing around a concept without regard for potential repercussions that would arise from trading said items.
But as a thought-experiment, let's consider the repercussions of allowing the trading of starting gear, such as a Lindel Bard trading his Lute to a Steelhorns Berserker.
Anything that immediately comes to mind?
One of the few "issues" I can think of would involve a Lindel Monk being traded the Sage's Tome from a Prophet, resulting in the stacking of Lindel's Attributes (all 3's) Hero Ability (Two grey dies instead of black+grey for Attribute Tests), the Monk's Inner Balance (+1 to all Attributes), and the ability of Sage's Tome (subtract 1 from the attribute test). But not only can Lindel already do this if he chose to be a Monk-Prophet, but it would also necessitate the group having two healers; and with +1 Awareness, Lindel as a Prophet himself would be even better.
Another one that could potentially be considered an issue (that I can think of) would be situations such as the Horn of Courage, of the Champion. It allows you to choose another hero within 3 spaces of you and give them a valor token. But this is a free action anyway, exhausting the card, so I can't imagine that it'd be a genuine issue that some other hero can give another hero a valor token, whether they're the champion or not.
I can't think of that many genuine, major issues.
Anything that comes to mind?