waterfall.js

const waterfall = (array = []) => {
  const iterate = index => (...args) => {
    const fn = array[index]
    const next = iterate(index + 1)

    return fn ?
      Promise.resolve(fn(...args, next)) :
      Promise.resolve(...args)
  }

  try {
    return iterate(0)()
  } catch (ex) {
    return Promise.reject(ex)
  }
}

Usage:

const arr = []

arr.push(next => { // First one doen't have any other param than next
  return next({ foo: 'bar' })
})

arr.push((acc, next) => {
  acc.baz = 'qux'
  return next(acc)
})

arr.push((acc, next) => {
  acc.quux = 'corge'
  return next(acc)
})

waterfall(arr).then(console.log) // { foo: 'bar', baz: 'qux', quux: 'corge' }