Kufr is the opposite of belief:
والكفر ضد الإيمان
— Tafsir Qurtubi
And Kafir is the opposite of a believer, i.e. a disbeliever, as demonstrated in the following verses:
هو الذي خلقكم فمنكم كافر ومنكم مؤمن
It is He who created you, and among you is the disbeliever, and among you is the believer.
—Quran 64:2
فآمنت طائفة من بني إسرائيل وكفرت طائفة
And a faction of the Children of Israel believed and a faction disbelieved.
— Quran 61:14
وآمنوا بما أنزلت مصدقا لما معكم ولا تكونوا أول كافر به
And believe in what I have sent down confirming that which is [already] with you, and be not the first to disbelieve in it
— Quran 2:41
لا تتخذوا الكافرين أولياء من دون المؤمنين
do not take the disbelievers as allies instead of the believers
— Quran 4:144
فمن يكفر بالطاغوت ويؤمن بالله
So whoever disbelieves in Taghut and believes in Allah
— Quran 2:256
ولكن اختلفوا فمنهم من آمن ومنهم من كفر
But they differed, and some of them believed and some of them disbelieved
— Quran 2:253
The Quran has explicitly called certain beliefs and the ommission of certain beliefs as Kufr.
Not believing in Allah and His Messenger Muhammad ﷺ:
ومن لم يؤمن بالله ورسوله فإنا أعتدنا للكافرين سعيرا
And whoever has not believed in Allah and His Messenger - then indeed, We have prepared for the disbelievers a Blaze.
— Quran 48:13
Having a belief that is shirk:
لقد كفر الذين قالوا إن الله هو المسيح ابن مريم
They have certainly disbelieved who say, " Allah is the Messiah, the son of Mary"
— Quran 5:72
Not believing in some Prophet or Messenger while believing in others:
إن الذين يكفرون بالله ورسله ويريدون أن يفرقوا بين الله ورسله ويقولون نؤمن ببعض ونكفر ببعض ويريدون أن يتخذوا بين ذلك سبيلا
أولئك هم الكافرون حقًّا وأعتدنا للكافرين عذابًا مهينًا
Indeed, those who disbelieve in Allah and His messengers and wish to discriminate between Allah and His messengers and say, "We believe in some and disbelieve in others," and wish to adopt a way in between -
Those are the disbelievers, truly. And We have prepared for the disbelievers a humiliating punishment.
— Quran 4:150-151
Denying the commandments of the Allah:
ومن لم يحكم بما أنزل الله فأولئلاك هم الكافرون
And whoever does not judge by what Allah has revealed - then it is those who are the disbelievers.
— Quran 5:44
وإذ قلنا للملائكة اسجدوا لآدم فسجدوا إلا إبليس أبى واستكبر وكان من الكافرين
And [mention] when We said to the angels, "Prostrate before Adam"; so they prostrated, except for Iblees. He refused and was arrogant and became of the disbelievers.
— Quran 2:34
Presuming that this world will last forever and doubting that the day of Judgement will happen:
ودخل جنته وهو ظالم لنفسه قال ما أظن أن تبيد هذه أبدا وما أظن الساعة قائمة ولئن رددت إلى ربي لأجدن خيرا منها منقلبا
قال له صاحبه وهو يحاوره أكفرت بالذي خلقك من تراب ثم من نطفة ثم سواك رجلا
And he entered his garden while he was unjust to himself. He said, "I do not think that this will perish - ever. And I do not think the Hour will occur. And even if I should be brought back to my Lord, I will surely find better than this as a return."
His companion said to him while he was conversing with him, "Have you disbelieved in He who created you from dust and then from a sperm-drop and then proportioned you [as] a man?
— Quran 18:35-37
So yes, non-muslims are Kafir. The Quran does not use any other noun to describe the genus 'non-muslim' other than 'kafir' itself.