You'll have to define stable or be more specific. All you need is a handful of fixes to make the game stable:
Search Term
LE Skyrim
SE Skyrim
Bing
Crash Fixes
Crash fixes
.NET Script Framework's Common Crashes and Fixes
Patches & Fixes - AFK Mods
Load game CTD Fix
Load Game CTD Fix
No Results
Load Game CTD Fix
Animation Limit Crash Fix LE
Animation Limit Crash Fix LE
No Results
Skipped^Why?
Bug Fixes
Bug fixes
Bug Fixes SSE
Patches & Fixes - AFK Mods
Cobb Bug Fixes
Cobb Bug Fixes
No Results
Skipped^Why?
Unofficial Skyrim Legendary Edition Patch
Unofficial Skyrim Legendary Edition Patch
Unofficial Skyrim Legendary Edition Patch - Voci in italiano
Skipped^Why?
(SKSE) Havok Fix
(SKSE) Havok Fix
(SKSE64) Havok Fix
Skipped^Why?
ENBoost for LE : https://www.nexusmods.com/skyrim/mods/73618
But mods can conflict with each other, or even certain aspects of mods can cause instability. Public Whore for instance, sometimes causes crashes when NPCs approach me, when I turn that feature off, no crashes. It's likely due to another mod but I'm too lazy to track it down. It's best to build your own modpack so you can limit the crashes by limiting the mods only to what you want. Plus, you will know exactly what is in there.
You'll have to define stable or be more specific. All you need is a handful of fixes to make the game stable: Search Term LE Skyrim SE Skyrim Bing Crash Fixes Crash fixes .NET Script Framework's Common Crashes and Fixes Patches & Fixes - AFK Mods Load game CTD Fix Load Game CTD Fix No Results Load Game CTD Fix Animation Limit Crash Fix LE Animation Limit Crash Fix LE No Results Skipped^Why? Bug Fixes Bug fixes Bug Fixes SSE Patches & Fixes - AFK Mods Cobb Bug Fixes Cobb Bug Fixes No Results Skipped^Why? Unofficial Skyrim Legendary Edition Patch Unofficial Skyrim Legendary Edition Patch Unofficial Skyrim Legendary Edition Patch - Voci in italiano Skipped^Why? (SKSE) Havok Fix (SKSE) Havok Fix (SKSE64) Havok Fix Skipped^Why? ENBoost for LE : https://www.nexusmods.com/skyrim/mods/73618 But mods can conflict with each other, or even certain aspects of mods can cause instability. Public Whore for instance, sometimes causes crashes when NPCs approach me, when I turn that feature off, no crashes. It's likely due to another mod but I'm too lazy to track it down. It's best to build your own modpack so you can limit the crashes by limiting the mods only to what you want. Plus, you will know exactly what is in there.