Here is an extract of quite an article on these types of supernatural powers, it does not mention Akaal Shaktis though:
Ridhi-SidhiThese are supernatural powers, and include Ridhi, Sidhi, Nau-Nidhi, Budhi, and Mukti -
Ridhi
It is attainment, success, progress, and affluence. Literally, Ridhi also means cooked-food. The practitioner of the Naam becomes widely known (influential), and the people start bringing him or her all sorts of foods, eatables, gifts, and other commodities - one of his attainments.
Sidhi
Occult, i.e. supernatural powers. One can be present at more than one places at one and the same time, can make prophesies, become invisible, get power to fly, can make things happen, bless (and curse) others, produce things from nowhere, bring back life to the dead, and solve problems of the others. His or her Hamzad (astral-self) can separate from the gross body and visit places etc. Such powers come naturally as well. Power to change his body with another on verge of the other’s death, can develop. Some may get the power to die at will, and even of automatic self-immolation of his or her dead body. The practitioner does not usually long or work for them. He is not supposed to display his or her prowess. Moreover, these are considered to be of no great merit, are interference in the Lord’s plans, and are a hindrance in the God realization. These do not lead to emancipation - Ridh-e sidh-e sabhu mohu haae Naamu naa vassaae Manne aa-ae Supernatural powers are attachments, These do not permit the Naam to get set in the mind. 5-593-18
Sidhis are 18. (Shabdarath, S,G,P.C., 1986, Page 10).
Minor SidhisThese are ten:
1. Door-Darshan - to see all, clairvoyance.
2. Door-Sarvan - to hear all, clairaudience.
3. Par-Kaya Parvesh - ability to enter other’s body. To rejuvenate, he may discard his own old body and enter that of a (dying) young person.
4. Annuram - freedom from hunger and thirst.
5. Kaamroop - adopt desired form, ability to change the form to that of another person.
6. Savichhatt-Mirtu - to die at will, to die the way one wants to.
7. Sankalap Sidhi - to get desires fulfilled, to have all that one wants.
8. Apprittehatt-Gatee - ability to go anywhere without any hindrance or obstruction.
9. Mano-Veg - to go anywhere at the speed of thought.
10. Sur-Kareer.a - to have enjoyment along with demi gods, to join them in enjoyments (merry making).
Major SidhisThese are eight:
11. Anima - ability to become very small, minute.
12. Mahema - to become big, gain colossal size.
13. Garima - to become heavy, gain an excessive weight.
14. Laghima - to become light, subtle.
15. Praptee - to get success, achieve goals, and get fulfilled.
16. Prakamya - to read the minds of other people.
17. Eeshihta (Isatva) - lordliness, and power to persuade others.
18. Vashihta (Vasitva) - to control other’s mind. Self control - control over all senses.
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sikhiwiki.org]
It seems that Riddiya Siddiya are also finite and restricted to this karam bhoom (i.e. this world we live in - Earth) and would not work in higher spiritual realms or khands.
The point that I would like to make, is that for the Singhs, these powers are kabai hath di kheR (the play of the left hand - a piece of cake) and we must be careful regarding these because in Gurbani, Guru Jee has written:
ਰਿਧਿ ਸਿਧਿ ਸਭੁ ਮੋਹੁ ਹੈ ਨਾਮੁ ਨ ਵਸੈ ਮਨਿ ਆਇ ||ridh sidh sabh mohu hai naam n vasai man aae |
Riches and the supernatural spiritual powers of the Siddhas are all emotional attachments; through them, the Naam, the Name of the Lord, does not come to dwell in the mind.
ਰਿੱਧੀਆਂ ਤੇ ਸਿੱਧੀਆਂ (ਭੀ) ਨਿਰੋਲ ਮੋਹ (ਰੂਪ) ਹਨ, (ਇਹਨਾਂ ਨਾਲ) ਹਰੀ ਦਾ ਨਾਮ ਹਿਰਦੇ ਵਿਚ ਨਹੀਂ ਵੱਸ ਸਕਦਾ [
I think many leaders of controversial deras or other organisations, without mentioning any names, are impressing naive sangat with these types of lower level powers. Many people, upon seeing a demonstration of these type of powers might think that someone must be a brahmgyani if they have these powers, and therefore become their chelas. We should be very wary of those who use, and abuse, these riddhisiddhi powers. However these are no big deal, and they are all well below the Akaal Shaktis that true Gurmukhs of the House of Sri Guru Nanak Dev Sahib Jee get bestowed with.
As I mentioned in the post above, with Akaal Shaktis one can almost do anything, including and superseding all the ridhisidhis. One gets all the powers that Satguru Jee themselves have i.e. ability to do anything and everything. However Gursikhs rarely, if ever, use these massive powers. There are a couple of Saakhis regarding Bhai Sahib Randhir Singh Jee where they have used these powers, for example
this one here but we can assume on those occasions it was with the full permission of Guru Jee.