I'm Catholic and have been for about 25 years, or maybe a bit less. Before that I was Presbyterian, and have attended Baptist and Wesleyan Methodist services with the occasional foray into other denominations. I don't recall the creeds being said at any of the three I've mentioned.
In my experience as a Catholic we've nearly always used the Apostles Creed (which isn't shown as an option in the vote above).
Either one is accepted, but as I was going through RCIA, somebody said to me if you're going to learn one thing, "... learn the creed." I'm pretty sure he meant the Nicene Creed, as I was given a copy of it as part of the RCIA induction.
But as I said above, in our parish and possibly diocese we've nearly always used the Apostles Creed.
I was curious about this, and the priest gave me an answer which pretty much went in one ear and out the other unfortunately. It has something to do with the church trying to be faithful to tradition, Now an again there is a change to the liturgy. When I first started, we had a response at certain times which was "... and also with you." But that got changed a few years later to "... and with your spirit..."
I'm afraid the liturgical fine print that brought in the change is beyond my ambit.
But it would be fair to say that we recite one of the creeds at every mass.
The Nicene Creed is a bit more majestic and poetic. It emphasises Christ's divinity more than the Apostles Creed as it was a specific response to the Arian heresy, which denied his divine nature. The Apostles Creed predated it, and was used as a baptismal creed in the early church.
Essentially though, they both say the same thing.
Actually, I left it out as an option because the Orthodox don’t use it, whereas the Roman Catholics use the Apostles Creed a lot, but my main goal was to find out about creed usage among Protestants, so I was basically trying to cluster Catholics, Orthodox and Assyrians together in a group. Anglicans also use the Apostles Creed; they tend to use it almost invariably during the Divine Office (Mattins, Evensong) whereas the main Sunday Eucharist will use the Nicene Creed or in some provinces on Trinity Sunday,
Quincunque Vult (the Athanasian Creed), which the Eastern Orthodox print a version of lacking the filioque in some of their prayerbooks and service books (Greek
Horologia and Russian/Ukrainian Church Slavonic Psalters, and
A Psalter for Prayer, by Holy Trinity Monastery (ROCOR) in Jordanville, New York, which is modeled on the aformentioned Slavonic Psalters, using the Coverdale Psalter corrected against the Septuagint.
You will also find a Septuagint-based Psalter in the Challoner Douai-Rheims Bible, because not only do Orthodox liturgics depend on the division of the Psalms in the Septuagint, as do the Traditional Latin Breviaries (Dominican, Roman, Roman revised by St. Pius X, and Monastic/Benedictine, and of course the Ambrosian and Mozarabic and other regional variarions. Of these, the old Roman Breviary was notorious for problems compared to the Dominican and Benedictine Breviary, although not everyone liked the fix St. Pius X applied; I am not familiar enough, but I do know his work on the liturgical calendar was brilliant, as was his Motu Proprio on Sacred Music,
Tra la solicitudini, the non-enforcement of which by the CDW is almost as much a tragedy as their attempt with Pope Francis to undo
Summorum Pontificum and ban the Traditional Latin Mass).
By the way, speaking of the traditional Latin rites,
Quincunque Vult (the Athanasian Creed, as it is mistakenly called) was used at Prime, which was suppressed from the Novus Ordo Liturgy of the Hours by
Sacrosanctum Concilium, a rare example of an objectionable decision regarding the liturgy made at Vatican II rather than by Archbishop Bugnini and Pope Paul VI exceeding their mandate.