Minimalism may be a modern term, but the concept has existed throughout time, as described by various sources. The most prominent, in my mind, is Jesus himself:
"Therefore do not be anxious, saying, 'What shall we eat?' or 'What shall we drink?' or 'What shall we wear?' For the Gentiles seek after all these things, and your heavenly Father knows that you need them all. But seek first the kingdom of God and his righteousness, and all these things will be added to you.
Therefore do not be anxious about tomorrow, for tomorrow will be anxious for itself. Sufficient for the day is its own trouble."
"If anyone would come after me, let him deny himself and take up his cross and follow me. For whoever would save his life will lose it, but whoever loses his life for my sake and the gospelâ€™s will save it.
For what does it profit a man to gain the whole world and forfeit his life?"
"If thou wilt be perfect, go and sell that thou hast, and give to the poor, and thou shalt have treasure in heaven: and come and follow me." Matthew 19:21
"Then said Jesus unto his disciples, Verily I say unto you, That a rich man shall hardly enter into the kingdom of heaven. And again I say unto you, It is easier for a camel to go through the eye of a needle, than for a rich man to enter into the kingdom of God."
"And every one that hath forsaken houses, or brethren, or sisters, or father, or mother, or wife, or children, or lands, for my name's sake, shall receive an hundredfold, and shall inherit everlasting life."
"And he said unto them, Take heed, and beware of covetousness: for a man's life consisteth not in the abundance of the things which he possesseth."
"And he said unto his disciples, Therefore I say unto you, Take no thought for your life, what ye shall eat; neither for the body, what ye shall put on. The life is more than meat, and the body is more than raiment. Consider the ravens: for they neither sow nor reap; which neither have storehouse nor barn; and God feedeth them: how much more are ye better than the fowls?"
"Sell that ye have, and give alms; provide yourselves bags which wax not old, a treasure in the heavens that faileth not, where no thief approacheth, neither moth corrupteth. For where your treasure is, there will your heart be also."
"And the multitude of them that believed were of one heart and of one soul: neither said any of them that ought of the things which he possessed was his own; but they had all things common."
Acts 4:32 (takes place after the presentation of Christ's ressurection.)
Minimalism is part of the path to the Kingdom of God, as described by the Bible and specifically, by Jesus.
The same is true of Buddhism, as said by the Buddha:
"Those who shaving their heads and faces and becomes Sramanas and have accepted the Doctrine of the Way, should surrender all worldly possessions and be contented with whatever they obtain by begging. Only one meal a day and loding under a tree, he desires nothing else. For what makes one stupid and irrational is attachments and passions."
Minimalism is not just the current trend in lifestyle changes, it is a tenant of spiritual growth.