I researched and watched many videos to find the mods they used in the Race To The Moon Series, Only mods I added I don't believe were featured in the series were Simply Jetpacks, Practicalities, Industrialcraft, Redstone arsenal, Storage Drawers, Iron backpacks, OpenComputers, Applied Energistics, and other minor mod tweaks/additions. They might make a useful addition to your experience whilst playing this modpack, and help with your goal of getting to the moon and other planets, but as implied may not be exactly accurate to the original series. This modpack also features the Sphax PureBDCraft texture pack, the same texture pack from the series, so credit to the people at BDcraft for the pack.
All Mods Listed:
-ChickenShed
-MoVillages
-Treecapitator-universal
-Lucky_Block_V5
-aether
-AppleCore
-appliedenergistics2
-Archimedes-Ships-Mod
-Artifice
-Atomic-Science
-backpacks
-BiblioCraft
-BiomesOPlenty
-buildcraft-7.1.24
-buildcraft-7.1.24-builders
-buildcraft-7.1.24-core
-buildcraft-7.1.24-factory
-buildcraft-7.1.24-robotics
-buildcraft-7.1.24-silicon
-buildcraft-7.1.24-transport
-buildcraft-compact
-Cake-is-a-Lie-Mod
-Carpenter's Blocks
-Chisel
-CodeChickenCore
-CodeChickenLib
-CodingLib
-CoFHCore
-ComputerCraft
-customrecipes
-Damage-Indicators-Mod
-Decocraft
-Dynamic Lights
-EnderCore
-EnderIO
-extrautilities
-forestry
-ForgeMultipart
-GalacticraftCore
-Galacticraft-Planets
-GraveStone Mod
-Hats
-Hatstand
-ICBM-classic
-iChunUtil
-immibis-core
-industrialcraft
-inventorypets
-IronBackpacks
-ironchest
-IvToolkit
-journeymap
-LibVulpes
-Loot-Mod
-Mantle
-Mekanism
-MekanismGenerators
-MakanismTools
-MicdoodleCore
-moobloom
-More-Planets
-MouseTweaks
-movingworld
-MrCrayfishFuurnitureModv3.4.7
-muttonmod
-mystcraft
-NoMoreRecipeConflict
-NotEnoughItems
-OpenBlocks
-OpenComputers
-OpenModsLib
-Pam's+HarvestCraft
-PortalGun
-practicalities
-RedstoneArsenal
-RedstonePasteMod
-Reis-Minimap-Mod
-secretroomsmod
-SimplyJetpacks
-Soul-Shards-Reborn-Mod
-StorageDrawers
-TConstruct
-ThermalDynamics
-ThermalExpansion
-ThermalFoundation
-TMechworks
-tubestuff
-VeinMiner
-VoltzEngine
-Waila
-WailaHarvestability
-yalsm
Please credit this pack if you plan on using this in video/entertainment related content or host a sever with it, and I give out credit to all the mod creators that are featured in the mods of this place. Thank you and have fun racing.