My 8mo has any kind of bread, toast, breadsticks, cooked veg eg: sweet pots, carrot, brocolli, green beans, cucumber, banana, cheddar cut into sticks, baby biscuits, cocktail sausages (only v occasionally as not v healthy at all!) I'm, sure she has other stuff but can't remember it all, and she's only got two teeth, she just sucks and chews till it goes soft.
my 8 month has been blw so has been havin finger food since 6 months - ideas - toast with spread on eg, cheese, humous etc, cooked veg, rice cakes, any fruit cut into sticks, crumpets, porridge pancakes, cheese on toast, teacakes, fruit loaf,
My 7.5 mth old's favourites are cheese omelette, strawberries, banana, baby biscuits / rusks, macaroni pasta, bits of bread spread with philly, hummous or tuna mayo, egg mayonnaise.
He's had a lot of finger food from the start so he's pretty adept now.
I know the choking thing is scary but the main thing is to let her go at her own pace and let her put things in her mouth herself, don't pop them in for her to start with. Also, make sure she's sitting properly upright and isn't reclined at all.
Gagging isn't the same as choking, it's a safety reflex to move food forward in her mouth, and generally they're not phased by it in the slightest. The gag reflex point is a lot further forward in a baby's mouth so they do gag mor ethan we do, but it's all perfectly normal and nothing to be scared about