Most "Oriental" in commercial pipe blends is probably some kind of Izmir / Smyrna these days (I heard a lot is grown in China now, but don't have personal knowledge about that. Italy also seems to be a major producer, with adapted and semi-Oriental varieties.)
I grew that Izmir-plant from Lebanon, and can detect it's incense-like floral quality in many well-known pipe blends, like the Rattrays. Some of the upper leaf is very floral, actually I had some which smelled like jasmine while curing (I asked others to sniff and they confirmed it). Grows very fast.
My Samsun-Maden has a very creamy and salty taste with notes of roasting bread and subtle sweetness. It produces good smoke volume and creamy clouds. I aged some from last year's harvest in the humidor with the cigars, and it rivals the best cigars I know in richness of smoke (without being really cigarish or alkaline). Nicotine is reliably low. The creaminess comes through even if used as a minor blending component.
The most aromatic Oriental I have grown is Prilep (66-9/7). It's also incense-like, but more on a fresh / mint-like / mentholic side. It can be really sweet and seems to smell nice and pipey to others (who are usually not much into tobacco). Nicotine and strength in some leaves can be quite high, and the aroma really overwhelming. I find it mixes very well with Samsun-Maden or Izmir. Beautiful plants, a good producer.
The second most aromatic I know is Baffra Basma (seeds from German Tabakanbau): Pure incense, on the darker side, a very specific aroma my olfactory memory sometimes suddenly brings up now. I was told by men old enough to know pure (and then expensive) Oriental cigarettes that that's THE FRAGRANCE they fondly remember. They mentioned that immediately when I lit the pipe in front of them (not knowing what was in there). Like with Prilep and against the variety description nicotine can be quite high (in some plant parts), although I don't fertilize my Orientals.
Similar to that but even on the "darker", sweeter, caramelic side is Xanthi (seeds from the same source). People comment on the good smell. If it actually can be lit. Most of what I grew is burning slower than slow (it's supposed to be like that for blending purposes, as far I know). There's one exception, that batch was harvested prematurely and burns well, while still having a good amount of "Xanthi"-aroma. It's less prolific for me than other varieties. Xanthi and Prilep plants are close relatives, as far I know, but effectively quite different to me.
Japan-8 still has me a bit puzzled. It looks very similar to Little Dutch, tends to cure very dark, has a wooden note (sometimes too much of it for my taste), but can be very sweet (second to Prilep in sweetness). It's like a licorice and cocoa casing have already been added. I find it tends to burn a bit too fast. I also find the leather-saddle qualities of Little Dutch more attractive if I feel like that flavour profile (and while Little Dutch is not an "Oriental", it is nicely aromatic, too.) I have a plant I brought over the winter, and it has given me already the fifth full-size stalk-harvest. It's very prolific for an Oriental.
Bursa also has an incense smell and can be very sweet. (I find it very different from Samsun-Maden). Nice looking, large plants, large leaves (for an Oriental). Unfortunately I let mine go overripe, which results in a bitey smoke (as I know know). I hope more aging will take care of that. I may grow it again one day and will then harvest at maturity or stalk-harvest early.
Tik-Konlak: I could not find much information about it's origin except that it may be also known as Tikolak, Tik Kulak, Tokolac... For some reason I'm fond of it. Larger plants, larger leaves. Incense-aroma, sweetness, seems to flue-cure well. Reminds me on Jitterbugdude's description of Bucak higher up. If you can only grow one Oriental variety and need a more substantial harvest, you may want to give Tik Konlak a try.
One major factor derived from my own observations is consistency. Many varieties seem to be quite sensitive to differences in soil, micro-climate, irrigation, not only in productivity but also flavour/aroma. I have grown all of the ones above in different spots, and found the most consistent and reliable aroma-wise are Prilep, Baffra Basma and Samsun-Maden. Basically all plants in all locations hold their specific aroma, perhaps a bit more or less, but it's there. They are probably also the ones with the most distinct "Orientalness".