When it comes to Philosophy, Vedic Metal is pretty deep. Being a follower of the religion myself, I find that some bands do manage to capture the essence of the teachings, although with minor inaccuracies.
1) Rudra - Meditations on the Mahavakya. [Vedic Death Metal]
Meditation on the axiom that Shvetaketu received from his father
It destroys the life of becoming someone other than what you are
The preceptor of nobility wields the garland of words from the Veda
Stringed with the right method, to reveal the Lord that you already are
The destruction of preconceived notions is possible but only with a purified mind
You listen, then you contemplate and free yourself from the delusion
By seeing that 'That' and 'thou' are indeed one since the dawn of time
Through this axiom the self is realised
Through this realisation you gain Immortality
Through this attainment you'll realise that you are everything
Sarvam Khalvidam Brahma
This is Brahman
Thou are Brahman
All is Brahman
That Thou Art
Ekam Eva Adivitiyam.
2) Aryadeva - Invading Horde of Bhagavan. [Vedic Symphonic Black Metal]
Pagan warriors on their mighty horses,
Thundering through the ages of Kali Yuga,
Behold the age of destruction,
They are here to eradicate and devastate;
Upholding the banner of Ancient Horde,
Watch the battle of Armageddon,
The adversaries of God pounds and strikes,
Let the carnage begin;
Blessed by the mallet of Lord Indra,
Their souls are engulfed in fury,
Flames burn in their vigilant eyes,
Galloping through the battlefield,
Eradicating and destroying,
Cleansing nature’s ground,
With the blood of holy bastards;
(solo)
Watch the forces of God slaughtered,
Blinding light that deceived many people,
Failed to blind their raging eyes,
They had mastered the timeless wisdom,
Eradicating and destroying,
Cleansing nature’s ground,
With the blood of holy bastards;
(chanting)
Om, ag ne, na ya, su pa thaa, raa ye;
As maan, vish vaa ni, dev, va yu naa ni, vid vaan;
Yu, yo, dhya smaj, ju hu raan, me no;
Bhoo yi sh thaam, te, na ma, uk tim, vi dhe ma;
(translation)
Oh Fire God (Lord Agni)! Teach us to rise up,
fill us with luminosity, make us energetic;
provide us the strength to be like you and make others alike,
we may also, like you, spread fragrance and luminosity;
By the grace of Lord Varuna,
They'll assault like deadly hurricane,
Sending bodies flying to the air,
Sparing not a single soul;
By the inferno-blaze of Lord Agni,
They'll incerinate their way through victory,
Like forest blazed in firestorm,
They turn those against them to ashes;
(solo)
Strength! - They will annihilate God's sheep,
Glory! - Pagan pride,
Lordship! - (they are the) descendants of the Aryans,
Invading Horde of Bhagavan!!!
Wealth! - Their thirst for desires relinquished,
Wisdom! - ultimate truth!
Dispassion! - They shall not have any attachment,
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Note that 'Aryan' here refers to no twisted explanation of a 'superior' race. The word has existed in Sanskrit texts and Vedas long before Hitler corrupted it and basically means, 'Noble', i.e., anyone who follows a life of morality and virtue without indulging in immorality is an Aryan. In fact, the band themselves have pointed out that they are not NSBM.