Shiva Tāṇḍava Stotram - 4

jaṭā-bhujaṇga-pingala-sphurat-phaṇā-maṇi-prabha
kadamba-kumkuma-drava-pralipta-digvadhu-mukhe

Guruji: 

When the moonlight glistens off the nāgamaṇi jewel on the hood the reddish nāga coiled in his matted locks, and falls on the faces of digvadhu having large vermillion dots on their foreheads, 

My attempt: 

Moonlight glistens off the gem on red serpent's hood in His hair, which is trembling due 

to Tāṇḍava, which smears the faces of the consorts of directions in a melting reddish hue

madāndha-sindhura-sphurat-tvag-uttarīya-medure
mano vinodamadbhutam bibhartu bhuta-bhartari

Guruji: 

it brings excessive joy to the mind by the Grace of He (Lord Shiva) who is draped in the skin of the exhilarated elephant and is the giver (sustainer) of live (livelihood) to all

My attempt: 

He (Lord Shiva) drapes in the skin of elephant (demon) who was in drunken rapture

and brings extraordinary joy to minds of all, That sustainer of all creatures

Shiva Tāṇḍava Stotram - 3

dharā-dharendra-nandini-vilāsa-bandhu-bandhurat
sphurat-diganta-santati-pramoda-māna-mānase

With His companion in Divine Sports, the Mountain Lord's Daughter dear(i.e. Pārvati)

(His Tānḍava) trembles the horizons, filling the minds of all beings with immense cheer

kṛpā-katākṣa-dhorani-niruddha-dhurdhara-padi

kvacid-digambare mano vinodametu vastuni

Whose continuously flowing merciful glance restrains unrestrainable calamities

As if sometimes, the All Pervading One wants to indulge in sportive activities.