I've tried many combinations of mods each time I've decided to play Skyrim again. This time around I've chosen SkyRe as my main 'overhaul' and I've got to say it's easily one of the best I've used. It changes alot of things in the game, but luckily only the bad things, SkyRe improves so many of the bad parts of the game that it feels great to play. The perk tree and combat are alot better, even with my orcish heavy armour + bonuses to armour rating enemies can still really hurt me. With SkyRe I am using Immersive Weapons, Immersive Armours, Immersive creatures, pretty sure you can find esp's for them all that make them compatible with SkyRe and also with crafting, I can't exactly remember if they were on the actual mod nexus pages or on another nexus post, but it wont be hard to find them.
WARZONES: Civil Unrest is another mod I am using, for me it works flawlessly with the previous mods I mentioned and I have no crashes or bugs so far. Yesterday I came across a battle with 100+ combatants in, I ran in to help the guys friendly to me, it was majorly fun especially considering the fact that a strong enemy could kill me in a few hits so I really had to be careful, think I quick loaded at least a few times because of getting out numbered and owned.
Finally to make the game look nicer I use Skyrim HD, Climates of Tamriel and Realistic Lighting Overhaul, the game is alot nicer to look at than before. Also I use Alternate Start: Live another Life mod, if you've played through the vanilla intro once you should get this mod, it puts you into the game far quicker and you can choose different things that will have an effect on your gameplay, for example my character is an Orc, it let me choose to start in an Orc camp and start my travels from there with Orc gear.
So Listed:
SkyRe
Immersive Weapons
Immersive Armour
Immersive Creatures
Alternate Start: Live another Life
WARZONES: Civil Unrest
Skyrim HD
Climates of Tamriel
Realistic Lighting Overhaul
They're the main ones I can think of right now and I am having absolutely 0 crashes and bugs so far. If you experience bugs and crashes with this mod list then you are probably using the wrong compatibility files for one or more of the mods. Or you have the loadout order of the mods set incorrectly.