The original enquirer was from England, so it should be pointed out that the Fiddler's Fake Book, fabulous collection that it is, is pretty useless as regards English tunes. And its comments on the subject of English fiddle music are, to say the least, ill-informed. But, having said that, iot's a must-have collection.
The traditional English tunes that everybody, but everybody, knows (in England, that is) are Winster Gallop(very easy) and Soldier's Joy (not so easy).