Whether you're a casual fan ('just the hits, please') or a dedicated one looking for a thorough overview of her career, this is the Connie Francis box set you need. It was released in 1996 by Polygram/A&M at the same time as the Moody Blues box set. When new it cost roughly $45 for the 4 discs but can be found for roughly half of that now. Besides the discs, there's a colorful booklet attached with biographical information and short histories of each track. Any fan of early to mid-60's music would benefit from owning this one.
Long out of print, this 4 disc set is the only anthology that covers Connie entire singles career with MGM 1955-69. The downside is more than a dozen B sides have been replaced with Lp and UK tracks. Purists will balk however, this is as good as it gets. The set boasts superior remastering and an extensive, comprehensive 44 page color booklet loaded with pix. If you can find this, grab it. An enriching chronicle on a vastly underrated singer.
If your not into collecting the albums or individual cd's. This puts it all in a nut shell and with great sound too. I beleive it's out of print. If you can find one in almost new condition for a great price like I did, go for it well worth it.