In addition to those regions, I also managed to find a list of all the non-procedurally generated star systems in Elite Dangerous.
I'm imagining if the UA is restricted to regions then it's likely to be restricted to systems hand-made by Frontier. Just a thought.
Sol, Alpha Centauri, Wolf 359, Lalande 21185, UV Ceti, Ross 128, Tau Ceti, LET 118, Wolf 424, CD-37º15492, Lalande 25372, Sirius, Epsilon Eridani, Procyon, BD+5º1668, BD+20º2465, Groombridge 1618, Luyten 1159-16, WX Ursa Majoris, +53º1320, Ross 248, Groombridge 34, van Maanens Star, Giclas 158-27, 61 Cygni, Struve 2398, 1º4774, Barnards Star, Ross 154, Luyten 789-6, Lacaille 9352, Lacaille 8760, Ross 780, Fomalhaut, Epsilon Indi, BD 4523, CD-46º11540, CD-49º13515, CD-44º11909, -11º3759, Kapteyns Star, 82 Eridani, Luyten 674-15, Ross 614, Omicron Eridani, YZ Canis Minori, -21º1377, HD 36395, LP 658-2, Ross 986, Ross 47, Wolf 294, Stein 2051, AC+79º3888, Eta Cassiopeia, Krüger 60, BD 946, BD+43º4305, Sigma Draconis, +19º5116, Altair, FU 46, 70 Ophiuchi, VB 10, Arcturus, 36 Ophiuchi, HR 7703, Luyten 347-14, Wolf 630, Delta Pavonis, Luyten 205-128, -40º9712, -45º13677, Luyten 145-41, Beta Hydri, Luyten 97-12, Vega, Castor, Pollux, Regulus, Achenar, Capella, Aldebaran, Canopus, Spica, Hadar, Antares, Betelgeuse, Rigel, Alcyone, Atlas, Electra, Maia, Merope, Taygete, Pleione, Polaris, Beta Lyrae, Alkaid, Mizar, Alcor, Alioth, Megrez, Phekda, Merak, Dubhe, Lave, Diso, Riedquat, Leesti, Orerve, Zaonce, Tionisla, Reorte, Uszaa, Orrere, Quator.
EDIT: Sorry if this is one huge block of systems. Try using CTRL+F to make things a little easier.