Azure Resource group is one thing which ties one complete stack together, so in case you want to know what your complete stack looks like just open up your RG and all resources are there(not talking about very big stacks ). Do we have any service in AWS like this ??
AWS also has Resource Groups. It's not identical to Azure resource groups. But it will work for your need. You need to use tags for the resources and then group them using AWS Resource Groups. Tags are very powerful and widely used in AWS.