What i want with my quick filter, to get all the stories and bug where i'm assign. and with all the subtasks under those items(even if i'm not the assign).
When i'm not the assigne to the story, but only 1 subtask, i want to see only that task.
I do not believe JQL (Jira Query Language) from the UI can do what you are trying. It isn't really a true SQL variant, so it cannot perform unions or sub-query correlation.
If you have one of the add-ons like script runner you could create a query to do this which merges the conditions you want. Please check with your admin to see what you have installed.
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