I have to go against the grain on the Hi-Power here.
I love the BHP for its elegance and historical pedigree, but there's nothing special about them at all as shooters or from a build-quality standpoint. A lot of BHP love is based in nostalgia and on the JMB connection -- which isn't nearly as strong as most presume -- in my opinion. The triggers are bad to terrible (no, taking out the magazine safety doesn't make it anything close to good), the accuracy is generally nothing better than mediocre, and the older forged-frame guns in particular are made from butter-soft steel and are not very durable. What they do have going for them are superb ergonomics (for most people) and excellent reliability. Absent some expensive work from someone like Yost, Garthwaite (RIP), Burton, et al., they're pretty disappointing as range/target pistols, though, especially if you've had any experience with the finest modern 9mm pistols.
Actually, there is one exception to that -- the relatively uncommon Hi-Power GP Competition model produced from 1980 to 1987. It's pretty dated, the build quality is still nothing exceptional, and it gives up most of the regular Hi-Power's good looks, but it's a smooth, accurate shooter with a nice trigger.
Hard to beat the regular BHP for looks, though, and I've bought quite a few. Here's my unfired 1968 tangent-sight T-series from 1968 (with some Ren Wax globs/streaks):