If you want to get the 100% classical feel in every regard and want a browser for that then Voyager is better than iBrowse and AWeb combined.
Unfortunately Voyager wasn't never that stable. I prefer IBrowse most, it has the nicest and most versatile GUI, quite stable (at least if you don't run JS all the time
), it was the longest in development... but with today's CSS web, they're all quite useless for general browsing. Mainly good for some Amiga related sites. And trying to surf with AGA has always been real pain... but with GFX card it was great (decade ago)
There are some ports of modern browsers to classics too, like Netsurf and OWB, but they're just too slow for poor 68k CPU.
The best for NG OS'es is Odyssey... Timberwolf is too unfinished currently AFAIK.