Another vote for Jet2! Definitely look at what they have available from Stansted. As well as great customer service (most of the time, no-one's perfect) their flight times are generally in the daytime, rather than 4 am or midnight arrival like Ryanair/Tui often are.
Also flexible holiday lengths so you don't have to go for the traditional 7/10/14 days, they often fly to popular holiday airports like Mallorca, Malaga, Barcelona, Malta, Alicante etc several times a week, so you can go for any number of days you like.
We're going to Menorca at the end of the month and we've booked a Jet2 package, partly because it was the cheapest, easiest way and we just wanted a low stress few days in the sun where we don't have to think about researching transfers etc, but also because they had good flights on the days we could go.
I suppose you normally fly from Heathrow/Gatwick? BA and Easyjet do package holidays from those airports, but Easyjet are probably on the 'naughty list' as far as worries about cancellations are concerned.
At least if you book a package and it's cancelled, they'll refund all the costs of flight, transfer and accommodation, whereas if you book it all separately, you'd have to hope its covered by your travel insurance, which would depend on the policy and there would be an excess to pay.