TL;DR list of libraries for quick access:
IGListKit [UICollectionView framework] -> pod 'IGListKit', '~> 2.0.0'
Realm [mobile database] -> pod 'RealmSwift'
Moya [encapsulated network layer] -> pod 'Moya', '8.0.0'
SwiftyJSON [JSON parsing] -> pod 'SwiftyJSON'
Valet [Keychain helper] -> pod 'Valet'
Firebase Analytics [analytics] -> pod 'Firebase/Core'
AsyncDisplayKit [asynchronous UI SDK] -> pod 'AsyncDisplayKit'
DZNEmptyDataSet [empty state pattern] -> pod 'DZNEmptyDataSet'
Chameleon [flat colors framework] -> pod 'ChameleonFramework/Swift', :git => 'https://github.com/ViccAlexander/Chameleon.git'
PermissionScope [iOS permissions framework] -> pod 'PermissionScope'
FileKit [file management] -> pod 'FileKit', '~> 4.0.0'
SwiftyUserDefaults [user defaults helper] -> pod 'SwiftyUserDefaults'
Kingfisher [image downloading] -> pod 'Kingfisher', '~> 3.0'
Hero [custom view controller transitions] -> pod 'Hero'
Hedwig [email sending]
DeviceKit [device info] -> pod 'DeviceKit', '~> 1.0'
Charts [well… charts] -> pod 'Charts'
MGSwipeTableCell [swipeable table cells] -> pod 'MGSwipeTableCell'
RandomKit [random numbers generation] -> pod 'RandomKit', '~> 3.0.0'
ResponseDetective [debug network requests] -> pod 'ResponseDetective'
Onboard [user onboarding] -> pod 'Onboard'
Quick + Nimble [BDD testing] -> pod 'Quick' pod 'Nimble'
Natalie [code generating from storyboard]
RxSwift [reactive programming] -> pod 'RxSwift', '~> 3.0'
GDPerformanceView [real time FPS and CPU usage] -> pod 'GDPerformanceView-Swift', '~> 1.1.0'
Alamofire [networking] -> pod 'Alamofire', '~> 4.3'
SwiftyStoreKit [In App Purchases] -> pod 'SwiftyStoreKit'
Timepiece [date helper] -> pod 'Timepiece'
CryptoSwift [cryptography] -> pod 'CryptoSwift'
FSCalendar [calendar] -> pod 'FSCalendar'
ImageViewer [Twitter inspired image viewer] -> pod 'ImageViewer'
PromiseKit [promises] -> pod 'PromiseKit', '~> 4.0'
Ensembles [Core Data synchronization] -> pod 'Ensembles'