[0ldskool]

do they have widget support? Specifically a list of starred/favorite notes?

[coffeeling]

Starred notes is a core plugin that lets you pin searches too.

There are slightly more involved approaches as well:

https://tfthacker.medium.com/dashboard-a-simple-organization...

[gnuj3]

All the plugins from desktop version sync to mobile too.

[lr1970]

yes, core obsidian support star notes and lists them in a star note tab.