I have pair of budgies, I want them to become close to me and trust me, but they don't come outside of the cage easily, male budgie sometimes come out easily and don't pluck my fingers but female budgie gets really aggressive and just refuse to leave the cage, she holds every object of the cage tight with legs and beak, as if she is using all her energy to stay inside the cage!
After getting them out: The female budgie keeps seating at one place, on my desk wires, etc but never on my fingers, while male budgie is easy to handle, he has started to seat on my finger for 4-5 minutes.
Some background: the female budgie was once attacked by a stray cat but she fought well and survived!