The Suhr Aldrich are alright for it, though they're not really much different from the JB/59 set; they're as close to a JB and 59 as Suhr could make without getting a cease & desist from Seymour Duncan. They're overwound just a touch, which does make the split sound a bit nicer than with the Duncans, but ultimately the tone signature of both pickups is 90% the same. (Also, if anyone does want an Adlrich but doesn't want to pay $200+ for a set, you can get an Irongear Hot Slag instead for £30. It's a direct copy of the Aldrich bridge. They haven't copied the neck model—yet!—but their Rolling Mill is quite close. The old Duncan Designed HB-102 set is also extremely similar and also very cheap; you can't tell the difference under high gain.)
I'd offer up the Seymour Duncan Full Shred set for "lots of hair" 80s rock with a good split. The Full Shred bridge is a Custom 5 with short hex poles instead of the usual full length screws and slugs, which results in a tighter, sharper feel than the soft PAF vibe of the Custom 5, and reduces the bass so your plain strings don't get drowned out and the wound strings don't get muddy, as is the case with so many overwound alnico 5 pickups. The neck model is similar to a Jazz but, again, has shortened hex poles for even more clarity than the Jazz has. Importantly, the snappier tone makes them split really well, giving you a sound much closer to a Strat single coil than most humbuckers, especially in any kind of warmer-toned guitar where most humbuckers' split sounds end up closer to something like a P-90 than a Strat or Tele sound. I think the name is a bit misleading as I find the clarity of this set makes them just as good for rhythm as they are for lead and overall they're one of, if not the, most versatile passive humbucker pairs I've come across.
DiMarzio Evo 2 (bridge) and PAF Pro (neck) would be my second pick for passives. Again, they're clearer than most overwound humbuckers, still with enough power to push a valve amp but not so hotly-wound that the low notes get muddy. Compared to the Duncan Full Shred, the PAF Pro is a bit thicker than the Full Shred with a throaty lower-mid hump, while the Evo 2 has an even tighter low end and a bit more power than the Full Shred thanks to the ceramic magnet. The PAF Pro splits well to either coil; the Evo 2 split is a touch flat, so always split it to the neck-facing coil to get a bit more life out of it. I like the DiMarzio set for brighter-tone guitars where the extra depth of the PAF Pro and slightly higher power of the Evo 2 prevent the tone from sounding weak, which can be a problem with the Duncan Full Shred. (Or, conversely, the Full Shred fits warm-toned guitars where the DiMarzio set can start to sound just a little bit muddy.)
Importantly, neither of those sets sounds like the JB & 59, so you'll be getting some variety.
All that said, my top pick for high-gain playing with a decent split sound is an active set, the EMG 89X and/or 89XR. (They're the same pickup, the R is just spun around by 180° so its split coil is closer to the neck for a warmer split sound.) They are made by taking the EMG SA Strat pickup and duplicating the top coil to one side, so unlike most humbuckers (including the other EMG splittable humbuckers like the 81TW), the coils are designed for the single coil sound primarily. This means the split tone is a perfect Strat tone and the humbucker tone is clearer and more balanced than most hot humbuckers. (EMG say it is similar to their 85, but I think they do this only to illustrate that it's an alcnio humbucker rather than their more famous ceramic tone; it's actually not much like the 85 at all.) That extra clarity, again like the two passive sets I mentioned, make it really good for 80s tones when you want to get the gain cranked but you don't want the low end booming out.
The 'X' version means the preamp is more power-effecient (giving you the old '18v mod' sound without the need for a second battery) and that the minimum gain has been lowered, giving a more dynamic tone. In most cases the difference between EMG X and other active pickups is not very great, but with the 89/89R it actually makes a gigantic difference, since the coils aren't overwound monsters like other active humbuckers have and they can really benefit from the changes to the preamp. Some people find the very idea of ever touching an active pickup scary, but in a blind test you'd never be able to tell that the 89X/89XR wasn't passive, both in humbucker and split modes. Certainly compared to the JB, the 89X is a more dynamic pickup. (Compared to the '59, it's pretty even.)
As a proper 1980s bonus, if you use an 89XR for the bridge and 89X for the neck, the middle split tone sounds very much like a Strat bridge+middle position, for the signature chorus-heavy clean tones of the 80s. (Putting the pickups the other way around results in a Tele-like middle tone.)
All three sets put less magnetic pull on the strings than most A5 or ceramic humbuckers, so you get a little more sustain with smoother drop-off than the compressed sound of things like the JB. I've always found that's important for the 80s tone, and especially vital for a good split sound.
If the "and earlier" means a lot to you then I'd suggest a Seymour Duncan Custom (plain Custom, not Custom 5 or Custom Custom) for the bridge—a fairly standard hot PAF sound that is good for any kind of rock or metal from the 70s to now—and a Jazz for the neck, which is just a bit smoother than the more specifically-80s neck choices. Both split pretty well, not quite as nicely as any of the above sets, but still better than the JB and 59. So, the other three are my pickups for pure 80s, while the Custom and Jazz aren't quite so good for the big hair stuff but are better for the surrounding 70s (or early 90s) tones.
I did give them both the listen that your recommendations deserve and they are great options! They each had a slightly different thing going on and both would have made my short-list if they were a more economical/easier option for me. I really liked their sound.
