Some good options for submitting literary flash fiction include established literary websites such as 'StoryBytes' and 'TinyWords'. These platforms have a reputation for showcasing quality short works. Also, look into local literary journals or anthologies that might have specific calls for flash fiction submissions.
I'd recommend checking out competitions and anthologies specifically focused on literary flash fiction. For instance, the 'Annual Flash Fiction Contest' and 'Best of Flash Fiction Anthology' are great places to submit. Additionally, some university-based literary magazines also accept flash fiction submissions.
You could try submitting to online literary magazines like 'The Flash Fiction Press' or 'Quick Tales'. They often accept submissions of literary flash fiction.