A caveat:

It might take an infinite amount of time to physically generate these creatures, but the fact remains that with high probability an infinite number of creatures are created.

Bob and Alice are playing a game of Magic. Bob has five life, a tapped Spikeshot Goblin, a Summoning Station, a Leonin Elder, and some tapped Mountains.

It's the Alice's turn (pre-combat main phase), and she has one life. She has a Wirefly Hive, a Gilded Lotus, a Voltaic Construct, and a March of the Machines.

Alice can use her Gilded Lotus, Voltaic Construct, and March of the Machines to produce an arbitrary amount of mana. She wants to create enough Wirefly tokens to fly over Bob's defenses and deal lethal damage to him. If she is unable to produce enough Wirefly tokens, Bob will be able to untap and shoot her with the Spikeshot Goblin.

If Alice gets lucky, she can win 5 flips in a row with her Wirefly Hive, which gives Bob 5 life from his Leonin Elder, and then fly over to kill him with her 5 2/2 Wirefly tokens. If Alice isn't quite as lucky and loses a flip after at least one Wirefly token is created, she gives Bob some life and then must be even more lucky to kill him.

Every time a Wirefly token leaves play, Bob will use his Summoning Station to create a colorless (and non-artifact) Pincher token. Bob is wary of Alice's tricks and wants as many creatures as possible, just in case.

With a high probability, no matter how many times Alice uses the Wirefly Hive, she will never create enough creatures to kill Bob. However, at any point in the process, she is not stalling, since she always has some (very small) chance of generating enough Wirefly tokens to win. Similarly, my understanding of magic loop rules leads me to believe that this scenario falls outside of them.

Bob creates a Pincher Token every time a Wirefly token goes to the graveyard. With high probability, Alice will continue creating Wirefly tokens forever, and Bob will have an infinite number of Pincher tokens (again, with the caveat that it will take Bob an infinite amount of time to generate these tokens).

I mentioned this loop in another post concerning infinity.

Does this work?