Advanced search is fantastic - I use it for a lot of my weekly reporting, dashboard is good too but its not as advanced/customizable without added config from maybe an api pull or integration (don’t take this as gospel because I’m not as advanced with that).
On this, I love Instagantt for the, well, gantt chart visual - the start/end point. However for ‘what’s happening this week’ - I just use the team calendar or project calendar - OR any search (advanced or no AFAIK) has a calendar on it.
So if I want to know what is going on this week across the entire org, I just run a search for incomplete tasks due within 7 days (or what have you) and tab to its calendar. I have several searches saved like that =)
But for prettier visuals (pie charts/etc.) I think there are some options just with simple api pulls and generation, etc. - might poke around in the API/Integrations sections.
https://forum.asana.com/c/integrations
Here are some discussions and solutions from the community: