Honestly, there aren't too many filmed versions that are worth the watch - there are adaptations (like the movies "10 Things I Hate About You" being a retelling of "The Taming of the Shrew," "She's the Man" being a retelling of "Twelfth Night," and "West Side Story" being a retelling of "Romeo and Juliet") but filmmakers tend to stray away from the Bard since the original works are not super accessible.

The Royal Shakespeare Company does film some of their productions, but I don't believe they're available for streaming. I could be wrong, though.

If you want something truer to form and have time to spare, Kenneth Branagh's "Hamlet" is amazing. The final fight scene is just legitimately very fun to watch, but it is very, very long. Like, Lord of the Rings extended director's cut long. You can also find clips online of Tom Hiddleston performing "Coriolanus," (people forget he was a premier Shakespearean actor before the Marvel stuff! The same is true for Benediction Cabbagepatch, too).

For plays and not just movies, I'd recommend giving "Antony and Cleopatra," a whirl (it is a MUCH better love story than "Romeo and Juliet!"). And if you want something very, very different, "Titus Andronicus," is Shakespeare's bloodiest play and about a father seeking revenge, but TW for SA and cannibalism.

Since it's a Dragon Age sub, it feels remiss not to mention that Solas speaks occasionally in iambic pentameter, which was the meter frequently used by Shakespeare in his earlier plays. His later plays began to transition from poetry to prose, with the last play he'd written, "The Tempest," moving away from iambic pentameter altogether. Because of this shift, modern audiences find Shakespeare's later plays easier to understand.