[name_f]Bunny[/name_f], [name_f]Dove[/name_f], and [name_f]Birdie[/name_f] is the exact list I was going to respond with! 
also [name_f]Daisy[/name_f] has really grown on me in recent years, but maybe is a little bit more accepted generally speaking as a given name.
I secretly love [name_f]Bunny[/name_f] and have relentlessly lobbied my husband for [name_f]Dove[/name_f] as a middle name.
Others I like that kind of fit into a similar category in my head (maybe more whimsical than cutesy, but equally fun) include:
[name_f]Fable[/name_f]
[name_f]Lavender[/name_f]
[name_f]Pearl[/name_f]
[name_f]Cricket[/name_f]
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i completely adore the name sunny! it’s very similar to my favourite name (sunday) and i do think she could be a full name. i know three sunny’s two of which are adults and one is a sweet four year old. i feel like once you meet an adult with a name is feels much more wearable!
personally though for me honey is a bit much! i do know a honey and she’s around my age (13/14) and she finds it weird. she’s got four older brothers and their friends all think it’s very odd when they call their sister ‘honey’. it feels like it should be a term of endearment and it could be a nickname for a little girl with any name!
i really only have one cutesy name i really love and it’s maisie! it’s on my list as a middle name for indiana! as i think indiana maisie 
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I think [name_f]Sunny[/name_f] and [name_f]Honey[/name_f] are useable, although I think personally I would prefer them as nicknames just to give the kid more options.
A couple of cutesy names on my list:
[name_f]Kiki[/name_f] (not sure if it’s useable, but I love it)
[name_f]Lilibet[/name_f]
[name_f]Hattie[/name_f]
[name_f]Hedy[/name_f]
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