We have made some great progress on this idea and most of our services today do support move resources across groups.
We are still working towards 100% support and while we do that it would be great if you can help us prioritize the missing services.
Please file individual asks on each service category present in uservoice and vote for it.
Azure Portal Team
122 votesplanned · AdminAzure IaaS Engineering Team (Azure IaaS Engineering Team, Microsoft, Microsoft Azure) responded
This is an area with active investment.