The phrase "beasts of the field, creeping things of the earth and fowls of heaven" is certainly an intriguing phrase...
But thankfully we see that phrase referring to common unclean men of heathen origin regularly, or we'd still be left with the smell
(Gen 1:24) And God said, Let the earth bring forth the living creature after its kind,
cattle, and creeping thing, and beast of the earth after its kind: and it was so.
(Gen 1:25) And God made the
beast of the earth after its kind, and the cattle after their kind, and every thing that creepeth upon the ground after its kind: and God saw that it was good.
God is letting us know His "language" of meaning in this topic, letting scriptures interpret themself...
(Ecc 3:18) I said in mine heart, It is because of the sons of men, that God may prove them, and
that they may see that they themselves are but as beasts.
When O.T. Israel continued to sin against God, He scattered them into the world and they became "one" with the inhabitants of the world in obscurity. That is what this verse means...
(Jer 31:27) Behold, the days come, saith the LORD, that I will sow the house of Israel and the house of Judah with the seed of man, and
with the seed of beast.
The "calling out" (ekklesia) of them, is the promised Gospel. This would result in the bringing in of all of us into the New Covenant Marriage of Israel to Her Husband Jesus Christ. A Marriage Covenant and regathering of those scattered "beasts" is the prophecy here...
(Hos 2:18) And in that day will I make a covenant for them with the beasts of the field, and with the fowls of heaven, and with the creeping things of the ground: and I will break the bow and the sword and the battle out of the land, and will make them to lie down safely.
(Hos 2:19) And I will betroth thee unto me for ever; yea, I will betroth thee unto me in righteousness, and in judgment, and in lovingkindness, and in mercies.
And of course, the full meaning revealed here to Peter when he was given the vision to preach to Israel scattered in the nations to gather them in the New Covenant Gospel message...
(Act 10:11) and he beholdeth the heaven opened, and a certain vessel descending, as it were a great sheet, let down by four corners upon the earth:
(Act 10:12) wherein were all manner of
fourfooted beasts and creeping things of the earth and fowls of the heaven.
(Act 10:13) And there came a voice to him, Rise, Peter; kill and eat.
(Act 10:14) But Peter said, Not so, Lord; for I have never eaten anything that is
common and unclean.
(Act 10:15) And a voice came unto him again the second time, What God hath cleansed, make not thou common.
So there it is, common/unclean man = "beasts of the field creeping things of the earth and fowls of heaven" unto which Israel was scattered in unbelief, and gathered in Faith and Righteousness, by the Gospel as preached by Peter to the "gentiles" (nations)...
The true meaning finally dawns...
(Act 10:28) and he said unto them, Ye yourselves know how that it is an unlawful thing for a man that is a Jew to join himself or come unto one of another nation;
and yet unto me hath God shewed that I should not call any man common or unclean:
There it is
MAN, common, unclean. Pretty clear huh.
So no, other than the seven clean animals taken on the ark for food and sacrifice later, there were no "animals" on that boat for obvious reasons, as well as scriptural clarification of true meaning. Isn't Jesus wonderful in giving us such pure clarity out of His Word