(Note: this is a collection of the meanings attributed to the cards by some occultists in the past centuries. It does not reflect my own study or opinion of the cards. It is only meant as a quick comparative reference as I develop my own take.)

Paul Foster Case (and Ann Davies)

In Tarot Divination the Ace of Wands has these key meanings: natural as opposed to invoked force; strength; force; vigor; vitality; particularly the force of concentrated will; the principle of beginning; initiation or inception of any enterprise or activity; concentration of power; involution of force.
Keyword: Initiative
(From the Oracle of Tarot course)

A. E. Waite

A hand issuing from a cloud grasps a stout wand or club. Divinatory Meanings: Creation, invention, enterprise, the powers which result in these; principle, beginning, source; birth, family, origin, and in a sense the virility which is behind them; the starting point of enterprises; according to another account, money, fortune, inheritance. Reversed: Fall, decadence, ruin, perdition, to perish also a certain clouded joy.
(From The Pictorial Key to the Tarot)

Aleister Crowley

This card represents the essence of the element of Fire in its inception. It is a solar-phallic outburst of flame from which spring lightnings in every direction. These flames are Yods, arranged in the form of the Tree of Life. (For Yod, see Atu IX supra.) It is the primordial Energy of the Divine manifesting in Matter, at so early a stage that it is not yet definitely formulated as Will.

Important: although these “small cards” are sympathetic with their Sephirotic origin, they are not identical; nor are they Divine Persons. These (and the Court Cards also) are primarily sub-Elements, parts of the “Blind Forces” under the Demiourgos, Tetragrammaton. Their rulers are the Intelligences, in the Yetziratic world, who go to form the Schemhamphorasch. Nor is even this Name, “Lord of the Universe” though it be, truly Divine, as are the Lords of the Atu in the Element of Spirit. Each Atu possesses its own private, personal and particular Universe, with Demiourgos (and all the rest) complete, just as every man and every woman does.

For example II’s or VI’s Three of Disks might represent the establishment of such an oracle as that of Delphi, or VIII’s might be the first formula of a Code such as Manu gave to Hindustan; V’s, a cathedral, XVI’s, a standing army; and so on. The great point is that all the Elemental Forces, however sublime, powerful, or intelligent, are Blind Forces and no more.
(From The Book of Thoth)

Golden Dawn’s Book T

A WHITE Radiating Angelic Hand, issuing from clouds, and grasping a heavy club, which has three branches in the colours, and with the sigils, of the scales. The Right-and Left-hand branches end respectively in three Flames, and the Centre one in four Flames: thus yielding Ten: the Number of the Sephiroth. Twoand-twenty leaping Flames, or Yodh, surround it, answering to the Paths; of these, three fall below the Right branch for Aleph, Men, and Shin, seven above the Central branch for the double letters; and between it and that of the Right twelve: six above and six below about the Left-hand branch. The whole is a great and flaming Torch. It symbolizes Force — strength, rush, vigour, energy, and it governs, according to its nature, various works and questions. It implies Natural, as opposed to Invoked, Force.

Etteilla

Birth
Upright. This card means, in its natural position, as far as the medicine of the spirit is concerned: Birth, Beginning. – Nativity, Origin, Creation. – Source, Beginning, Primacy. – Extraction, Race, Family, Condition, House, Lineage, Posterity, Occasion, Cause, Reason, First, First fruits.
Reversed. Fall, Decadence, Decay, Decline, Decay, Decay, Dissipation, Failure, Bankruptcy, Ruin, Destruction, Demolition, Damage, Devastation. – Guilt, Error, Contempt, Abatement, Depression, Discouragement. – Perdition, Abyss, Chasm, Precipice. – Dying, Falling, Decay, Derogation. – Depth.

MQS