There are various possible protected elements in such games. Graphic images and the written text of rules may be protected by copyright, unless they are old enough that the copyright has expired, or the images are too simple to be protected.
If a sufficiently different set of images and text are used, copyright will not apply. The ideas of the game rule, and the game mechanics, are not protected by copyright, but the specific words describing those mechanics may be. A new set of rules would nee to be different enough not to be considered a derivative work to be free of copyright issues.Just how different that must be depends on the specific facts. When there is only one way of naturally expressing an idea, or only a small number of such ways, one of those may be used without a copyright violation.
The name of a game is often protected as a trademark. Unlike copyrights, trademarks do not expire as long as they are still in active use. To be free odf trademark protection, a new name would need to be sufficiently different that reasonable people would not be decieved into tthinking that it was associated with, or sponsored or endoirsed by, teh trademark owners ofd the origina. A prominent disclaimer can help avoid such confusion.
The "trade dress" of a product can also be protected under trademark law. This includes the distinctive colors and apparent of the package, and the styling of a name, such as a unique combination of font and colors. The cursive form of 'coca-cola" is an example of trade dress. The appearance of a game board or of game elements such as cards may also be trade dress, if it is distinctive. A new version would need to avoid similar trade dress to be free of trademark protection.
In some cases game design may be subject to patent protection. But patents expire in a much shorter tiem frame than copyrights do, on the order of 20 years. Games much older than that will not have active patent protections.
A new version of an old game that uses a wholly different name, a completely different logo and appearance, and rules written in significantly different terms will probably not be subject to any v valid IP claims, although a publisher might make such claims.