My favorite shop has a deal on the Gibson SG Melody Maker, they come for 299 euros, so does s Melody Maker Les Paul.
These guitars should have good woodwork and mimimalistic electronics, what do you consider them especially good for? Fo you think it is a guitar that one should have?
I currently have a mexican Strato, apart from tone, do you think it is a different class regarding quality and construction?

I like the LP over the SG for body style and feel, but it's what feels right to you that counts. Either one will give you some good blues, R&R and country sounds. Having a Strat and an LP pretty much covers any genre. They have a different feel but you can get comfortable with them both and have more variety of sounds to choose from. These are all good guitars to start out with and they can be upgraded in the future if desired.

Seems like the SG Melody Makers are no longer available in the U.S., at least through any of the websites I've checked, and there are a couple of LP models, w/either one bridge HB, or two P-90's?

The Melody Maker model with one pickup in the bridge position is going to give you a limited range of tone, IMHO. A lot of the sound associated with SG's & LP's is the smoky, slightly dark sound of the neck humbucker, a sound you won't be able to get from a bridge pickup. It will be a slightly different sound from your Strat, but perhaps not as versatile, more suited for rhythm than lead. It probably won't quite make the cut as a Jazz guitar, but with a little tone-sculpting, it's a fun, lightweight guitar for just about anything else you want to play.

http://www.guitarcenter.com/Gibson-Melody-Maker-Special-Electric-Guitar-107283251-i2172118.gc <---- here's the two pickup model for $699...

Thanks for that, Larryz, but man, $700 for a stripped-down guitar? At that rate, 300 Euros isn't a bad price for the LP model, but IIRC, the SG model was much less, between $300 & $400. I'd hold out for a Faded SG, in that case, which is running around $550, in U.S. dollars.

http://www.guitarcenter.com/Epiphone-Les...216-i1320937.gc <---- here's an Epi LP for $400 (which will save you about $300) which just goes to show a stripped down Gibson is going to cost a little more as it's still using quality pups, pots, frets, switches, etc...