Best affordable phones IMO remain the Koss PRO-4AAs, and have been for about 50 years. They're not specifically noise-cancelling, but they do block out room/background noise fine; have very comfy gel-filled ear pads that surround the ears; are comfortable to wear with a nice foam liner across the head; have an extendable/retractable coiled cord (I really dislike "straight" cords for headphones, they get in the way); are incredibly rugged (I drop them on the floor all the time and they don't care); and sound very good. I first learned about them visiting high-end recording studios in NYC, where they were ubiquitous -- all the studios used them (late 1960s time frame). Then I found out they actually weren't expensive. They're still on the market and used by lots of studios and cost $99 today (retail). I've been using them since about 1970.