Good question. I recently lost my blue-fronted amazon after she had internal bleeding. I had her for 25 years. I was going to buy an African Grey because they were talkers (knew nothing about parrots, but had owned tiels, parakeets, and zebra finches) for my son's 16th birthday. But I opted for my blue fronted because when the store owner handled her she squawked but never attempted to bite him.
She ended up bonding with me (took nearly two years). She would stand on the back of the couch but siddle away when I tried to touch her. Then one day out of the blue she climbed down on my chest as I lay on the couch, squatted, squawked like a chicken, then turned around and showed me her vent. Bingo I knew she was a girl. After that it was me and only me. I could handle her any way I wanted. Never got bit, except once by accident when she went for the cord on earphones I had on and only grazed my cheek. It took her about 4 years to figure out she could bite, although she did only once when she tried to bite my son. She still recognized him and she would still allow my son to handle her a little, but she went for his face once and after that he didn't handle her anymore. She would do that lunge thing toward my husband, but I don't think she would have really bitten. It was just understood that only I could handle her, stick my hand in her cage, scratch her neck, and flip her on back and hold her like a baby. She never plucked her feathers, screamed incessantly, or chewed excessively or did any neurotic behavior. I had to leave her alone for an entire week only coming home on weekends with only the cat for company for an entire year and still no behavior problems. She was the sweetest.
Now I'm looking at other birds and all I can read about is aggression and biting. I'm nervous, too. Although I'm looking at senegals. I'm wondering if I want another medium size parrot or just go for a smaller one. I've got a mighty big cage to fill (including my heart). One thing, I will definitely make sure whatever species, it'll be a female. I had it so easy the first time, I'm afraid, I'll expect it to be easy the second time. I just really never had to train her. The only thing I did was respect her space and since I ignored her and did not push it but was always nearby but calm, she decided on her own and her own time when she was ready to bond.
Start small with a budgie or a tiel. I hand tamed my budgie by sitting in a dark room with only the TV on so she would fly away, put her on a stand and just had her do step up and down. Two or three sessions of about 15 minutes each. She loved small spaces and loved to sit between my boobs and just stay in there or I would put her in a sock and carry her around. My tiel was hand raised so tame already. I don't handle her as much so she gets a little wild and then calms down and lets me handle her. She gets a little bossy if she's out too long then insists on nipping my ears or pulling my earrings or nibbling on my neckchain. Gets really insistent.
Remember parrots are long lived, intelligent, and bond with you and consider the family their flock, be prepared to have a parrot (hopefully) for many, many years and not give her away because you move. If you move, take your parrot with you. My 25 years was way too short. So from my experience, I would say a female blue-fronted is the best. She was a moderate talker - just her name, hello, something that sounded like Ma when she called me, jabbering that sounded like me jabbering on the phone with my mom, mimicking of female and children voices on TV, and singing wordlessly whenever a song came on or I sang. Oh and she would laugh like me. Barked once like my sister's dog. Never did it again. Walking by that empty cage is really hard.