I have 5 different Crowley/Harris Thoth decks, including the 1969 Llewellyn version, which to my knowledge is the second version ever printed and the first full color version. Listed below are the details for these different deck versions.
Lillie, based on your preferences (no borders on back, green borders on front, red unicursal hexigram card), it appears that the 1977 U.S. Games version or 1978 Weiser version is what you are looking for. The U.S. Games 1977 version was the second Tarot deck I ever bought, and was the one that started me on the path of Tarot and mystical studies.
Hope this helps!
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Date of deck: 1969
Publisher: Llewellyn Publications
Printed in: U.S.A
Box design: hard cardboard outer box - white on one side & copy of card back on other side, gold slipcase inner box
Card Size: 140 x 95 mm
Fronts: Light blue plain border with no design, no astrological symbols or Hebrew letters on bottom of Majors
Backs: No borders, design covers entire back of card
Extra cards: OTO card, no unicursal hexagram card
LWB, contents : No LWB (at least not in the deck I have)
ISBN: None
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Date of deck: 1977
Publisher: U.S. Games Systems, Inc.
Printed in: Belgium
Box design: White
Card Size: 140 x 95 mm
Fronts: Green border with design, astrological symbols and Hebrew letters on bottom of trumps
Backs: No borders, design covers entire back of card
Extra cards: OTO card, Red Unicursal Hexagram card
LWB, contents : 46 pages, by James Wasserman, plus two essays by Lady Frieda Harris with commentary and footnotes by Stuart R. Kaplan
ISBN: 0-913866-15-6 LWB
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Date of deck: 1996
Publisher: AGM AGMuller
Printed in: Switzerland
Box design: Dark Blue
Card Size: 140 x 95 mm
Fronts: Gray border with design, astrological symbols and Hebrew letters on bottom of trumps
Backs: White borders
Extra cards: OTO card, Rainbow Unicursal Hexagram card
LWB, contents : 41 pages, by "the Hermit", an excerpt from Aleister Crowley's original Book of Thoth
ISBN: 0-88079-469-0 Box, 3-905021-60-9 LWB
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Date of deck: 1996
Publisher: U.S. Games Systems, Inc.
Printed in: Belgium
Box design: Lavendar
Card Size: 110 x 70 mm
Fronts: Gray border with design, astrological symbols and Hebrew letters on bottom of trumps
Backs: White borders
Extra cards: 2 extra Magus cards
LWB, contents : 46 pages, by James Wasserman, plus two essays by Lady Frieda Harris with commentary and footnotes by Stuart R. Kaplan
ISBN: 0-88079-308-2 Box & LWB
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Date of deck: 1997
Publisher: AGM AGMuller
Printed in: Switzerland
Box design: Dark Blue
Card Size: 89 x 58 mm
Fronts: Gray border with design, astrological symbols and Hebrew letters on bottom of trumps
Backs: White borders
Extra cards: OTO card, Rainbow Unicursal Hexagram card
LWB, contents : 43 pages, A Descriptive Essay by Aleister Crowley, edited by Frieda Harris with a foreward by Hymenaeus Beta
ISBN: 3-905219-06-9 Box & LWB
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