you’re in luck! you don’t even need bootlegs thanks to the lovely company at shakespeare’s globe. their shows are all staged in more or less the early modern style, but it just adds to the fantastic aesthetic. if it’s post-2000 stage productions you’re after, i highly recommend them all.
if you use torrents, then here are links to the following productions of shakespeare’s plays at the globe (there might be more dvds available but these were all i could find):
all’s well that ends well (comedy)
as you like it (comedy)
love’s labours lost (comedy)
much ado about nothing (comedy)
merry wives of windsor (comedy)
twelfth night (comedy)
taming of the shrew (comedy)
and this is a production of doctor faustus put on by the globe. it’s marlowe, not shakespeare, but a fantastic play and if you enjoy these productions then you’ll love it just as much.
these are misc stage productions put on by other companies:
julius caesar (history) (royal shakespeare company)
the tempest (tragedy) (stratford theatre)
macbeth (tragedy) (royal shakespeare company)
hamlet (tragedy) (royal shakespeare company)
coriolanus (tragedy) (national theatre live)
much ado about nothing (comedy) (wyndham’s theatre)
speaking of hamlet, some lovely person put together this compilation post a while ago, so there are various productions of hamlet there.
and the duchess of malfi is webster, not shakespeare, but it’s such a fantastic play and he’s another early modern writer. so again, recommended. this production was done at the greenwich theatre.
and i feel like im forgetting some really obvious recent productions, but here’s the collection i devised off the top of my head. as far as movie versions go, if you are interested in those as well, there have been some great productions in the last few years. the hollow crown series (bbc) covered one of the history quartets (richard ii, henry iv part one, henry iv part two, henry v) and i greatly enjoyed all four films (richard ii was my personal fave though). there was also a romeo and juliet movie recently, though they edited a lot of shakespeare’s text so if you’re here for that then i wouldn’t recommend it. in 2011 there was a film version of much ado about nothing which was particularly popular (a joss whedon production with many familiar faces).
there are, of course, countless classics as well. if you’re interested, some of my personal favourite shakespeare movies are richard iii (laurence olivier), much ado about nothing (kenneth branagh), henry v (kenneth branagh), titus (a julie taymor production starring anthony hopkins as titus andronicus - a SUPERB adaptation, unforgettable), romeo and juliet (1968, directed by zeffirelli), hamlet (kenneth branagh - not necessarily a fan of EVERYTHING in this version, but GOD it is a FEAST for the eyes, and when the casting is right it is sooooo right. def worth checking out).
and GOD im sure there are many, many, many more BUT I’VE GONE FOR WAY TOO LONG SO THERE. GO FORTH. if you don’t use torrents, then i recommend a quick google on how to do so. if you can’t, then sorry! but at least you know these copies exist and can look for them elsewhere. and maybe someone else searching for shows can use these.