Some of them are inspired, and some have been straight frame by frame, scene by scene remakes. In the earlier days they got away with this, but not now …. hail the Internet :)

Feel free to add more and point out any mistakes.

Fight Club – Fight Club
Akele Hum Akele Tum – Kramer vs Kramer
Paap – Witness
Zeher – Out of Time
Main Aisa Hi Hoon – I Am Sam
Heyy Babyy – Three Men and a Baby
Agneepath – Used a lot of references to Scarface
Road – The Hitcher
Dhamaal – Rat Race
Black – The Miracle Worker
Bade Miyan Chote Miyan – Some scenes inspired from Bad Boys
Salaam Namaste – Nine Months (1995)
Kyon Ki – One Flew Over The Cuckoo’s Nest (1975)
Kucch To Hai – I Know What you did Last Summer (1997)
Awara Paagal Deewana – The Whole Nine Yards (2000)
Deewangee – Primal Fear (1996)
Kartoos – Point of No Return (1993)
Yeh Kya Ho Raha Hai – American Pie (1999)
Yaarana – Sleeping with the Enemy (1991)
Murder – Unfaithful (2002)
Krrish – Some part inspired from Paycheck
Dil lage – Sabrina
Mein Anari tu khiladi – The hard way
The Train – Derailed
Speed – Cellular
Malamaal Weekly – Waking Ned Divine
Ek Ajnabee – Man on Fire
The Killer – Collateral
Raaz – What Lies Beneath
Kaante – Reservoir Dogs
Chocolate – The Usual Suspects
Alag – Powder
Deewane Huye Paagal – There’s Something About Mary
Hum Tum – When Harry Met Sally /Before Sunset
Mere Yaar Ki Shaadi Hai – My Best Friend’s Wedding
Aap Ki Khatir – The Wedding Date
Kyonki Main Jhuth Nahin Bolta – Liar Liar
Papi Gudia – Child’s Play
Zinda – Old Boy (Korean Movie, not Hollywood)
Main Hoon Na – Never Been Kissed
Dil Hai ki Manta nahi – It Happenned One night / Sure Thing
Ram Jaane – Angels with Dirty Face
Phir Hera Pheri  – Lock, Stock and Two Smoking Barrels.
Taxi # 9211  – Changing Lanes
Aak Ruka Hua Faisala – 12 Angry men
sadak – taxi driver
darr – cape fear
takkar – unlawful entry (also see fareb)
Bachke Rehna Re Baba – Heartbreakers
Bunty aur Babli – Bonnie & Clyde
Kya Kool Hain Hum – The Monster
Maine Pyar kyun kiya – Cactus Flower
Yakeen – Shattered
Ghulam – On the waterfront
Aitbaar – Fear
Sholay – The seven samurai / magnificent seven
munnabhai mbbs – patch adms
ghajini – Memento
God father – inspired Sarkar and Sarkar Raj
Bruce Almighty – God Tussi Great ho
Kahi Pyar na Ho Jaye – The Wedding Singer
Life in a metro – the Apartment
u me aur hum – the notebook
love story 2050 – the time machine
Mr ya miss – Switch
sequel to partner  – Wedding crashers
Omkara – othello
aitraaz – disclosure
Chori chori – house sitter
ek hasina thi – double jeporody
musafir – U turn
mujshe shaadi karogi – anger management
qayamat – the rock
kuch kuch hota hain – sleepless in seattle
chak de india – miracle on ice
jab we met – a walk in the clouds
race – bad lovers
andaz apna apna – dirty rotten squandrel
dhoom2 – payback
Naksha – The Rundown (2003) / Welcome to the Jungle
Tathastu – John Q
Shaadi Se Pehle – Meri Biwi Ki Shaadi
Rang De Basanti – All My Sons
Mr Ya Miss – Hot Chic
Sauda The Deal – Indecent Proposal
Aabra Ka Dabra – Harry Potter
Dhoom – The Fast and the Furious & Ocean’s Eleven
Taarzan: The Wonder Car – Christine
Koi Mil Gaya – E.T. the Extra-Terrestrial, Forrest Gump
Aapko Pehle Bhi Kahin Dekha Hai – Meet the Parents
3 Deewarein – The Shawshank Redemption
Chor Machaaye Shor – Blue Streak & Hindi Movie Gol Maal
Kuch Khatti Kuch Meethi – The Parent Trap
Karobaar: The Business of Love – Indecent Proposal
Baadshah – Nick Of Time, The Mask, Rush Hour, Mr. Nice Guy
Judwaa – Comedy of Errors/ The Twin Dragons.
Fareb – Unlawful Entry (also see takkar)
Agni Sakshi – Sleeping with the Enemy
Daraar – Sleeping with the Enemy
Criminal – The Fugitive
Hum Hain Kamaal Ke – See No Evil, Hear No Evil
Akayla – Cobra
Main Azaad Hoon – Meet John Doe
Maalamaal – Brewster’s Millions
Janbaaz – Duel in the Sun
The Burning Train – Shinkansen Daibakuha
Partner -  Hitch
Bichhoo – Léon
Hum kaun hai – The Others
Bazigar – A kiss before dying
36 China Town – Once Upon a Crime
Jism – Body Heat
Raghu Romeo  – Atame! (also known as Tie Me Up! Tie Me Down)
Dansh – Death and the Maiden
Sangharsh – Silence of the Lambs
Ek Din 24 Ghante – Lola Rennt (also known as Run Lola Run)
Gulzar’s classic Parichay – The Sound of Music
Josh – West Side Story
Dostana – I now pronounce you chuck and larry

Bluffmaster – Matchstick Men

I am not a final authority on Bollywood. My views are my own. Please feel free to disagree with the comparisons made here. I wrote this ‘coz I obviously felt there wore some striking similarities.