As noted, opinions vary, however:
2010-2018 in South America
- Dunlop Grandtrek AT3 - good tyre on the highway, OK offroad
- Pirelli Scorpion AT - similar to the Dunlops
- Yokohama Geolandar A/T-S - the best of these three - good on the highway, more capable offroad.
2017 - In 2017 we made a "big trip" through Africa and had BF Goodrich T/As on our vehicle there - they were a little noisier on the highway, however better than all of the previous tyres offroad.
2019-2022 - In 2019 we made a "big trip" around Australia and at that point had the Yokohama Geolandar A/T-S on the vehicle. When we needed to replace one we found that the nearest shop had BF Goodrich T/As and we asked them to put one on the vehicle, however they recommended a Toyo Open Country AT as being as good as the BFG at a lower price. We took their advice and when we subsequently replaced two more tyres put on two more Toyos, which we have on the vehicle now (in South America). The Toyos are excellent - quiet and capable on the highway, and good offroad.
2022 - we bought a Wrangler JK LWB in Canada and it had Michelin LTX winter tyres all round: not my ideal choice however they were in good shape with lots of km left so we didn't waste mony changing them. They are OK for highway, gravel, and some offroad, however on the Dempster we had two punctures in the same tyre (fixed at the roadside) so when we were in Fort Nelson we looked for an AT to replace the twice-repaired LTX. The spare (strangely) was an AT Bridgestone Dueler and the shop had one of these so now we have two Duelers on the back axle and two LTXs on the front (and as a spare). The Dueler would not have been my preferred choice however we were going to be covering a lot of km before the next place where we could expect to find ATs, and we had one already, so we went with the Dueler. We don;t have enough km in these to have formed a view, however they're quiet and have good highway grip, and have handled gravel and some offroad OK. When we reach a point at which we need to replace them we'll look for Toyos.
So, I'd recommend Toyos. I've seen a lot of recommendations recently for Falken Wildpeaks, however have no experience to offer.