I always recommend people try a sampler first, and from that sampler, build a familiarity with whichever family of tobaccos their preferred sample stems from. For new smokers, building good smoking habits is important, and briefly sticking to a single genre gives you time to practice with something you know you like and with something you have some good idea of how it should taste. It makes it easier on your palate and your wallet, too. Once you start developing a good feel for how a proper smoke should go (i.e. getting a consistent pack, not smoking too quickly or hotly, etc.), you're ready to better explore other blends and really capture their nuances.
So, you smoked several aromatics and an English, with a couple of burley based blends on the way. There are many genres of pipe tobacco, and there are a few I'd recommend trying. A lot of people here are recommending a virginia or VaPer, and I agree with them. But bear in mind that virginias are less forgiving of bad smoking cadence than most aros and english blends. You can also try a blend with oriental tobaccos or some kentucky dark fired. I won't overload you with specific tobacco suggestions, because half the fun is finding a lovely blend yourself, maybe one that others overlook or goes unappreciated.
But gives those styles a try in addition to the ones you already sampled. If one really catches your fancy, maybe explore other blends similar to that one. Once you build a solid foundation, branch out from there. Or, just buy a little bit of everything and bounce around as you please. There isn't a totally wrong way to do this, by and large.
