He would play two elite teams H/H each year - one home - the other away.
The Big East had some studs during some of those years. Also went to some big time early season tournaments. Also had an occasional game at MSG. Remember playing Gonzaga in Boston too.
While the beloved casual Chief reader might imagine that the response above rebuts what I previously wrote, I offer that I of course remember the various multi-year H-H series and such that you have referenced. I also know when they occurred in Jim Calhoun's UConn basketball time line.
The first mid-January high major OOC game was not scheduled in the first 3 (or even 4) years of the Calhoun Era.
In fact, not until the third season after 1990's Dream Season was a mid-January game against #12 Florida State show up. That was JC's 6th season.
There was no comparable game in Donyell Marshall's final season. The following year, #7 Kansas crushed UConn in a mid-season game. Calhoun's 8th season at UConn, after decent success at Northeastern. Let's leave it there.
I maintain that it's a tendency toward unsustainable overreach that fails you more than anything else; it dilutes the value you sometimes otherwise add.