Edi is not a hub for any of the alliances so for continental europe it will inviove connections on any of those carriersunless flying to their hubs (ba lhr, lh fra, muc, klm ams, af cdg)
.if you want direct for edi its low cost carriers

Currently LH has 2 departures a day from edi to fra, 6am ish and 12:40ish. Arrivals at midday and 11pm ish.
One flight a week edi to muc

Edleweiss Air has flight to Zurich, but less than one flight a day. These are eligible fir *A if you book the LX flight number from the SWISS website.

Frequency may increase slightly in the summer, another deprature from edi around 6pm.

Munich flights frequency also increases but not to daily.

SAS may gave options. TK too, but fir connecting into mainland europe its 4 hours to IST the 2 to 3 hours back again, not ideal forca weekend away

So *A options are limited.

I expect you will look at timings of low cost v the connecting fligjts. Sometimes tou will decide just to go direct, other times on LCC. With EDI i sometimes find I fly one low coat carrier out and a different one back depending on the timings.

i will add the "A does not have its own lounge in EDI. LH use the Aspire lounge.