What you get: Of all the major streaming video companies, Amazon is the only one going toe-to-toe with Netflix in producing large amounts of high-quality original content. Their deals with HBO, FX and other networks allow them to provide you with an embarrassingly rich amount of prestige cable. Try "The Americans" — you won't regret it.
After the trial: Amazon Video is included with your Prime subscription. $99/year (or $8.25/month) will get you Amazon's famous 2-day shipping, as well as access to Prime Music, Prime Photos, Prime Pantry and a number of other perks. Students can get a Prime subscription for $49/year.
If you just want the streaming service without the rest of the Prime ecosystem, it can be had for $8.99/month.