I have been looking for a site that would alert me when there's a new

• fare
• under a certain cost
• on specific airlines (BA/IB/AA)
• in business class
• on a specific citypair

with no avail.

I found plenty of sites that who would alert me when every single new economy fare (including junk airlines or airlines I couldn't care about) or lower price comes up on a citypair (farecompare, bing travel, lots of others). I also found sites where I can put specific flights and it will alert me when the cost for those specific flights drops below a threshold. However, I am still to find a service that will alert me on what I need, which is pretty much similar to the one of bingocallerb22: in his case, he wants to be alerted whenever there's a cheaper

• fare
• in business class
• on carrier LA
• on citypair NYC-LIM or NYC-GYE.