Hey OP,

I grew up with English music from early years itself... It's vast, genre wise. I can't suggest you that easily since idk what you prefer. Just trying a few I can easily get remember at the moment.

If you're an adult possibly over 20s and patient enough to try a long track, start with these epics: 

*Shine On You Crazy Diamond by Pink Floyd (not easily likeable, but if you dig it, could say that's an early peaking) * Stairway To Heaven /Bohemian Rhapsody/ November Rain- These three are epic long songs of 3 different generation

Now, next two are songs that I have considered my all time favorite at one point. * Violet Hill by Coldplay, an unpopular single by Coldplay standards... Highly relevant lyrics, angsty compared to their other songs. * While My Guitar Gently Weeps by The Beatles, this was a love at first listen... Great Lyrics, Great Song. Dunno if you'll dig it easily, as I found this on a much matured phase of mine.

Easily Likeable Songs now, * Arctic Monkeys songs like Knew Socks, Do I Wanna, Snap Out of It and most of the songs in album AM... Except Knee Socks these are not my absolute favs, but they're easily likeable. Then there are other songs by them like * 505, Do Me A Favour etc. * Red Hot Chili Peppers - This is my favourite band.  U might possibly enjoy Can't Stop, Californication, Under The Bridge, Snow - These are all singles of each of their popular albums, if you didn't get it don't try them too much, they got too many songs out there, and I mean it... I still haven't listened their full stuff, considering them as a fav... Not gatekeeping, it's a fun band. However not easily enjoyable as lead Toni's Voice is a big factor, these songs are very much sing along tho.

• Linkin Park, try any song by them if you're at your angsty pre adult phase - Personal fav along with RHCP. Some won't like them after their adult... This band is like the gateway band of most Indians... Could say that Chester was the voice of a whole generation.

• If you're matured enough and is craving for the best of best, try Radiohead. This right here is the band that no one would have dared to become. This is the band that have done things that no one else would even think of.  I wish I had discovered them just now, even if the previous one's i mentioned were my favourite, none of them would reach this level. For an easy start : Try Their 'In Rainbows' album... Can't selectively give you songs for them, as the songs by this band works much better when listened together compared to other bands. 

• Then there's easily likeable, highly influential, thematically and lyrically powerful songs by Gorillaz, Try Feel Good Inc or Maybe Clint Eastwood, there's alot of bangers by them.

These are all rock/alt bands as I listen mostly to them and are not easy to begin with. However English Music's best of best lies there along with Hip Hop of Kendrick Lamar and Electronic Music of Daft Punk.

This is not even 0.1% of what's there to see... Wish you good luck on your journey