Gypsy (substitute for letter I)
Gym (substitute for letter I)
Ginger
Gin
Gist
*-ological
*-gic
*-gist
Digit
Engine
Fungi
Legible
Fugitive
Religion
2 romance languages share the pronunciation between e/i and a/o/u. English generally makes "g" soft with ge/gi/gy.
There are many reasons for those exceptions. Some words of origin, since the "g" is always hard, never got their spellings changed when French and Latin stems were introduced to English.
I removed everything that didn't make that "ih" sound after the g (including the ones where you were just being a smartass), since they didn't apply. also, notably, my list only included words that
started in "gi," so none of the examples had it in the middle (so your similar list actually looks a lot more like a list of exceptions than mine)
I also highlighted "fungi" because it's just as often, or more so, pronounced "fun-guy"
anyway, since pronunciation depends on the language of origin, and .gif doesn't have one of those, there is no "right" way to pronounce it