Here is a (in no way complete) list of mods that I recommend or others have recommended and I intend to use in the future. I'm not going to get into load orders or whether or not some of these have compatibility issues between each other. This list will assume some level of experience modding Bethesda games.

Wabbajack
If you are new to modding or just want to play the game there are a couple of Wabbajack mod lists that use Lunar Fallout Overhaul as a base. You can check them out and see if they look right for you:

• Life in the Ruins
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• Radio Station mods
• Audio replacement mods (as long as they don't edit items)
• Quest mods (though if they add new weapons, armor or other items there may be balance issues)
• Sim Settlements or mods that add new settlement items should be fine
• Texture replacers (as long as they don't edit items)
• New locations
• Pip Boy map replacers
  

• + Baka Scrapheap Script Memory Limit Expander
• + Buffout 4
• + Boston FPS Fix OR Previs Repair Pack  (I believe this is a one or the other case)
• + Weapon Debris Crash Fix
• + High FPS Physics Fix
  

• + Place Everywhere
• + SKK Fast Start New Game (all of SKK50's are worth checking out and are compatible with LFO)
• + Keep Radiants in the Commonwealth
• + Companion Stealth Distance Fix  (Load after LFO)
• + Vault-Tec Workshop Overhaul Redux and Vault 88 Essentials
•  Crafting Highlight Fix
•  No PA Battery Pathing
•  Companion Tracker
•  Nuka World Skip Raiding  your own Settlements
•  Skip DIMA Memories Far Harbor
•  Companion Command and Tactics
•  Everyone's Best Friend Dogmeat
  

• FIS (and the associated "FallUI'" mod set). Basically replaces Def_UI (which you can still use instead) and several other UI mods.
  

• + See Through Scopes and Patch
• + Boston Natural Surroundings
• + Pip Boy Flashlight
• + Cross Crit Gore Verhaul
• + People are Strangers
•  Settler and Companion Dialogue Overhaul - Lite
•  Automatically Lowered Weapons
•  Public Occurrences Expanded
•  Pack Attack NPC Edition/Companion Edition (you can get them at Greslin's Discord channel) Warning: This is an extremely script heavy mod. I recommend you do some research before using it. It's brilliant, but you will probably need a high end computer and it might not be ideal for people who have high investment save files.
  

•   Lost Audio Tweaks
  

• + Clarity (this does a lot, so read the description to understand compatibility and redundancy, especially with weather mods) Check out this patch tool.
• + Wasteland Illumination (this is very good with a darker nights mod)
•   Savrenx's Texture Packs (The weapon textures are probably the most important, since you end up staring at your gun a lot).
• + Face of Death Skull bandanna (personal taste, but I just like it better than vanilla)
• + Swinging Animated Meat Bags
•  Nuka World Lighting
•  Eyewear and Mask Retexture (might be covered by Savrenx)
•  Nuka World Fixes East Entrance
•  WX Face Paints and Dirt
• + Better Coastal Waves
•  Detailed Feral Ghouls
  

• + Laser Weapons 1st person Reposition AND patch (I have been told that the patch is no longer needed)
• + Reaper's Patches and Mods for Lunar I've grown to really like these, especially for the Machine gun.
•  Hunting Shotgun Link to LFO patch (also Bullet counted reload patch)
•  Bullet Counted Reload System
• There are now a ton of weapon mod patches on the Nexus for LFO.
  

• + Creative Perks Plus (with patch) Lunar Fallout primarily balances the vanilla perk tree with lots of minimal changes. Creative Perks Plus totally re-imagines the Perk system. It is very well designed and a lot of fun. Highly recommended if you have played a lot of Fo4 and want to freshen up the experience.
•   Intimidation Perk Extended I intentionally left these perks untouched in LFO with a mod like this in mind. There are a couple of Intimidation overhauls and they should all be compatible with Lunar Fallout.
  

•  Smokeable Cigars Cigarettes And patch (for immersion and/or survival save mechanic)
•  Encounter Zone Recalculation
•  SKK Dynamic Damage Manager(good option for survival players. I personally recommend a 2:2 or 3:3 in/out ratio).
•  Random Valuables Redux (RNG heavy so balance is off, but interesting for your Nth playthrough)
•  NPCs Travel And patch
• No Legendary Effects for Lunar Fallout: In case you want an extra layer of difficulty.
•  Fill'em Up Again
• Food Healing Doesn't Stack
  
  

• Subversion (Alternate Ending): I haven't played this yet but it comes highly recommended. If it needs a patch let me know. Should fit thematically with LFO's desire to increase role play and player choice.
• Nuka World Plus This is a lot of fun if you want to do Open Season. I did make this tiny convenience patch.
• + LunarFalloutPlus - When Freedom Calls is an excellent balance adjustment to the intro quest of the game. Highly recommended.
  

•  Rusty Face Fix
•  Fixed Alpha Maps
•  Fixed Gobo Effects
•  Flicker Fixer
•  Wetness Shader Fix
  

• I've started an article of Creation Club Patches on my DeIntegrator page.
• Creation Club Delayed is kind of a must have if you use Creation Club content.
• I've included quite a few patches for CC content in the main download.
  

•  Captives - Scribes - Squires - Vertibird Travel  (I haven't tested this, but it should be very helpful for survival players)
•  Cabot House (Bedroom Reward)
•  Sleepless Nights
•  Pulowski Shelter Save Point
• Minutemen (Radiant) Squads This mod is brilliant, but currently incomplete and abandoned. Read through the comments section and bugs tab before using. However, it's a lot of fun.
•  Complex Vendors
• Aim Fatigue something I'm meaning to check out