awaitable Task based queue

I don't know of a lock-free solution, but you can take a look at the new Dataflow library, part of the Async CTP. A simple BufferBlock<T> should suffice, e.g.:

BufferBlock<int> buffer = new BufferBlock<int>();

Production and consumption are most easily done via extension methods on the dataflow block types.

Production is as simple as:

buffer.Post(13);

and consumption is async-ready:

int item = await buffer.ReceiveAsync();

I do recommend you use Dataflow if possible; making such a buffer both efficient and correct is more difficult than it first appears.

Simple approach with C# 8.0 IAsyncEnumerable and Dataflow library

// Instatiate an async queue
var queue = new AsyncQueue<int>();

// Then, loop through the elements of queue.
// This loop won't stop until it is canceled or broken out of
// (for that, use queue.WithCancellation(..) or break;)
await foreach(int i in queue) {
    // Writes a line as soon as some other Task calls queue.Enqueue(..)
    Console.WriteLine(i);
}

With an implementation of AsyncQueue as follows:

public class AsyncQueue<T> : IAsyncEnumerable<T>
{
    private readonly SemaphoreSlim _enumerationSemaphore = new SemaphoreSlim(1);
    private readonly BufferBlock<T> _bufferBlock = new BufferBlock<T>();

    public void Enqueue(T item) =>
        _bufferBlock.Post(item);

    public async IAsyncEnumerator<T> GetAsyncEnumerator(CancellationToken token = default)
    {
        // We lock this so we only ever enumerate once at a time.
        // That way we ensure all items are returned in a continuous
        // fashion with no 'holes' in the data when two foreach compete.
        await _enumerationSemaphore.WaitAsync();
        try {
            // Return new elements until cancellationToken is triggered.
            while (true) {
                // Make sure to throw on cancellation so the Task will transfer into a canceled state
                token.ThrowIfCancellationRequested();
                yield return await _bufferBlock.ReceiveAsync(token);
            }
        } finally {
            _enumerationSemaphore.Release();
        }

    }
}