Hi, I guess I am somewhat of a Bianchi-file. I bought my first one in 1976, it's a 1975 Bianchi Specialissima. Today it looks like this:

Conservatively, I've ridden this bike over 40K miles, but I've hardly ridden it since I restored it in 1985. At the time that I restored it, celeste Bianchis were very popular in SoCal so I came up with this paint scheme. The only original parts on the bike are the hubs.
I ride my 2005 Bianchi Pista Concept track bike in two different configurations:

I've changed most of the components on the bike since taking these photos, but you get the idea. I'll be riding it in the drop-bar configuration tonight at the Velo Sports Center velodrome tonight.
A very fun bike to ride around town is my 2005 Bianchi Milano:

It's the special, Bianchi 120th anniversary edition of the Milano. I get a lot of positive comments when I ride it. I've made a couple of changes on this bike too, most notably flipping the bars.
Next is my 2007 Bianchi D2 Crono Carbon:

Sadly, this frame is for sale. I've been lured by the aerodynamics of the Specialized Shiv TT. BTW, the wheels on my TT bike are the same wheels I use on the track for TTs.
Last on the list is the only Bianchi that I've ever bought used, a 2007 Bianchi Roger:

Bianchi originally marketed the bike as a single-speed cyclocross bike. That same year, the UCI outlawed disc brakes on cyclocross bikes so Bianchi only made the Roger for one year. (Of course, they reinstated disc brakes on cyclocross bikes last year.) I've re-purposed the bike as my rain bike and single-speed training bike.
That's it. I have a few other bikes for other riding purposes.
Why do I like Bianchi? It's partly because it was my first "real" race bike. At the same time there is something about Italian bikes in general and Bianchi has such a long and storied history. I guess it's similar to why some people love Harley-Davidson motorcycles. Personally, I don't like them but people get Harley logo tattoos. I don't have any Bianchi tattoos.
Note that while most of Bianchi's line is made somewhere in Asia, the Reparto Corse bikes are supposed to be made in Italy.