Asana's start up time is just ridiculously slow. Probably the slowest webapp I've ever used. Also, you can't assign more than one person to a ticket, which is a pretty big limitation
JIRA also doesn't let you assign more than one person to a ticket. Could you expand on why this is a problem? I'm not familiarized with this problem space so I'm just curious.
The recent GitHub updates let you assign multiple people to reviews and such, but I find it's usually better to tag everyone you want to look at something. I don't think assigning something will send a notification.