Interesting to see the mostly positive reviews here.
I'm still not making a judgment myself, I want to see more episodes, but, out of the 5 people watching it with me, two of them already have given up on the show in disgust and the other 3 where not impressed. One really shouldn't count though because she literally was ready to give up before we got through the black and white future scenes!! Peoples attention span for tv shows seem to be getting drastically shorter lately.
Anyway, personally I see a few problems that need to be dealt with. In BB, Walt was able to draw some sympathy especially early on, from the audience, you had a clearly defined goal (Walt wanted to support his family), and a logical reason for many of his actions. You had a likeable character (Jessie...even pretty much right from the start), and you had many relationships that developed throughout the episodes. You also didn't know how everything was going to turn out, so there was often suspense as well.
In BCS though, you know how everything is going to turn out, Saul was never likeable, and still (at least to me) is not. You can't even really identify with him (which to some extent at least early on, you could with Walt). There also doesn't seem to be the bits of humor involved, so far at least, and I don't get the ying/yang good/evil, morality issues etc that I did from Breaking bad.
Saul, right from the start, seems pretty much like a sleezebag, he doesn't care about the people he is defending, and he only cares about the money from clients and not what is in their best interest. His "HUNGRY" stare at the pen when he was going to get the couple to sign the retainer agreement summed it up, and luckily the wife noticed it as well.
I walked away without anything really drawing me in, or making me want to watch another episode. I'm going to give it a few more tries, some of the "this season on better call saul" scenes looked promising. I always liked mike, and that will help (Another "likeable" bad guy).
I think the biggest problem though is going to be Saul himself. I don't know how popular he was as a character for most, but he was not one of my favorites. There are ways to make the show work though. Include more humor (more then in BB) since Saul was often central to many of the comedic parts of BB, it would work well to include more humor in this spin off. Since he's going to be a sleezy money grubbing lawyer, make fun of it and him. I don't want to identify with a sleezebag, so playing it straight, isn't going to work (for me at least).
Bring in some other characters that the audience can root for, perhaps even have Saul screw them over and ruin their lives as time goes on. Play Saul as the character everyone loves to hate, while also having us laugh at his expense often as well.
Expand the post BB part as well, including just a bit of the future in each episode, creating a mini future storeline we follow along with as well, a tantalizing glimpse into the post BB fallout. This would allow you to cross over characters from BCS (That you are just introduced to) and the post BB universe as well.
Oh well, I'll give it a few more chances and see what happens, was not impressed though.