There are differences between the two Creeds -- and they're important ones.
We believe in one God, the Father, the Almighty
Maker of heaven and earth, of all that is seen and unseen.
We believe in one Lord, Jesus Christ,
the only Son of God, eternally begotten of the Father,
God from God, Light from Light, true God from true God,
begotten, not made, one in Being with the Father.
Through him all things were made.
For us men and for our salvation he came down from heaven:
by the power of the Holy Spirit he was born of the Virgin Mary, and became man.
For our sake he was crucified under Pontius Pilate; he suffered, died, and was buried.
On the third day he rose again in fulfillment of the Scriptures
he ascended into heaven and is seated at the right hand of the Father.
He will come again in glory to judge the living and the dead,
And his kingdom will have no end
We believe in the Holy Spirit, the Lord, the Giver of Life,
Who proceeds from the Father (and the Son)
With the Father and the Son he is worshipped and glorified
He has spoken through the Prophets.
We believe in one holy Catholic and apostolic Church
We acknowledge one baptism for the forgiveness of sins.
We look for the resurrection of the dead,
and the life of the world to come. Amen.
Of course there are important differences, mainly in that the Nicene Creed is longer and more detailed...as it dealt with different heresies at a different time the "Hippoclytus Old Roman Creed" (the Apostles Creed).
My point is that ALL orthodox Christians, Catholic and Protestant affirm both these creeds. (Eastern Orthodox affirm them both too, with the exception of the 'filioque', "proceeds from the Father (and the Son)" clause, where they omit "the Son" part.
Some Protestants don't say them, or even acknowlege them, never-the-less, standard theology...of Baptists, Bible, (most) Pentacostals, Mennonites, besides Anglican, Presbyterian, Methodists and Lutherans etc. ALL affirm both the Apostles and the Nicene creeds.
I would go so far to say that any that do NOT have theology in accord with those creeds can rightly be catagorized as sub-Christian cults.