Solution 1:

Just like "for example", "e.g." doesn't need a plural.

If you want to emphasize the plurality of examples, you can say "some examples are...", but that doesn't have a commonly-used Latin equivalent, and thus there is no standard Latin abbreviation for it.

Solution 2:

Since e.g., translated from the Latin, means "for example," it doesn't need a plural.

Solution 3:

The E.G. part stands for Exemplī Gratiā. This is the Latin way of saying what we say in English as "for the sake of example".

Note that English uses a lot of little words that Latin doesn't. This is because Latin is inflected while English isn't. English still has a plural for nouns, but no cases. Latin has singular and plural, but also five cases.

To take the Latin phrase apart, Exemplī is the possessive (genitive) singular form of the noun exemplum 'example', so in Latin it means "of example". Literally.

And Gratiā is the ablative singular form of the noun gratia 'benefit; sake', so in Latin it means 'for the sake'. Literally.

If you want to pluralize the phrase, you have to decide which noun to pluralize -- is there more than one example, or more than one benefit? Since you're looking for multiple examples, one would use the plural genitive exemplōrum 'of examples', instead of the singular genitive exemplī of example'.

I.e, it should be Exemplōrum Gratiā instead of Exemplī Gratiā. Of course, that would still be e.g.