Sounds like you're looking for stuff that's on DVD. Here are some personal favorite movies. Some of them turn up on TCM and other channels regularly, so you may not feel like renting them. Most of them are considered classics. Don't know if that's what you're looking for. Many of these are in black and white, if that bothers you.
The Apartment (Romantic comedy-drama with Jack Lemmon and Shirley MacLaine, from 1960 or so.).
Black Narcissus (Intense drama about a bunch of nuns in the Himalayas. Lots of sexual hysteria. This one's in Technicolor and it's stunning to watch.)
The Thief of Baghdad (There are several versions of this. Get the 1940 one, in beautiful Technicolor. One of the great movie adventures, still incredibly entertaining. Special effects are primitive but great for their time.)
It's a Gift (With W.C. Fields. One of the funniest movies ever. Black and white from the 1930s. This is in the W.C. Fields Comedy Collection. Another especially great Fields movie is The Man on the Flying Trapeze. That one's in volume 2 of the Fields collection.)
Spartacus (If you've never seen the great 1960 film directed by Kubrick, with Kirk Douglas and an amazing cast, you should. Long but never dull and very powerful. And lots of shirtless, sweaty men, some of whom are definitely hot.)
The Night of the Iguana (Currently my favorite movie. Tennessee Williams drama about coping with despair, beautifully filmed by John Huston in black and white. Shot in Puerto Vallarta, which became a popular tourist destination after this movie came out.)
Smile (Fabulous 1970s comedy about a teenage girl beauty pageant. Very funny and also very touching.)
Boys in the Band (If you've never seen this, you should. Just released on DVD.)
The Lady Eve (Classic 1930s romantic comedy. One of the best ever.)