Tonyshuman makes a great point. I've met a lot of rabbits and shared my home with several. It's more about the individual personality than breed, but of course there are breeds that TEND to be calmer/more active, independent/cuddly, ect.
I've also noticed a difference, in my personal experience, between males and females. Females being more independent and temperamental and males being more laid back and affectionate.
My dutch: Raised from a tiny baby (came from a breeder). She's a doll and we love her, but she is definitely an independent rabbit who likes everything on her own terms. She has a huge personality and makes us laugh every day.
Holland Lop (mixes?): My first two rabbits were holland lops, supposedly, though I believe they were poorly bred or mixes. They came from a pet shop at 3 months old, so who knows about their history. The female had a big attitude. She didn't really like people so much as she tolerated them. She was very moody and very destructive. Her brother was much more easy going. He was more affectionate than she was but had an attitude also and could be very demanding (such as jumping up on the couch and biting you if you didn't pet him fast enough). These rabbits were both fixed at 5 or 6 months, and this went well past the "teenage" stage. I feel this is not typical of the breed and was a result of poor breeding and/or lack of socialization at a young age.
Minilop: my first minilop came from a pet shop. He was an ideal rabbit.. if it weren't for the chewing. Affectionate, calm, laid back.. great rabbit. I miss him a lot. The second minilop was a female I fostered for several months. She had a very questionable background that included being isolated to an outdoor cage for at least a year with limited human contact when she was a young bunny. She was extremely fearful and high strung. She was extremely territorial and terrified of humans despite living for several years indoors with her previous owner. She slowly came around and turned into a friendly rabbit before she was adopted, though she was still very skeptical and I doubt she'd ever be a cuddly rabbit.
Minirex: I fostered one recently and he was basically the perfect rabbit. He had several homes and a questionable background as well, but from day one had perfect litter box habits, sought out attention even from us strangers, he was very easy going, liked other rabbits, wasn't destructive. He was a great little guy.
I think if you're looking for a calmer, affectionate rabbit your best bet is to go to a rescue group and let them give you some options. You never really know what a rabbit will turn out like despite the breed. But honestly... a lot of the bigger breeds tend to be calmer than the smaller guys.