It is cheaper to book the exact same United flights to Hawaii with Singapore KrisFlyer miles than with United miles.

United charges 22,500 miles each way in economy and 40,000 miles in First Class between the mainland and Hawaii
Singapore charges 17,500 miles each way in economy and 30,000 miles each way in First Class between the mainland and Hawaii

That's a humongous difference. Instead of costing 90,000 United miles to get two people from your home airport to Hawaii and back, you could pay 70,000 Singapore miles.

Forget paying 110,000 United miles one way for Lufthansa First Class. You can book the same flight for 40,000 points + $203 (and there is even a way to avoid the $203.)

Lufthansa First Class flying from Europe to the United States is a fantastic product.

The onboard First Class product is solid--a step above American carriers and a step below Asian and Middle Eastern carriers.

And the ground experience in Frankfurt is my favorite in the world.

You can book yourself a tour around the Caribbean and South America stopping in three places for only 64,500 miles total with half the trip in a flat bed. By stopping in three places, I am referring to actual destinations, not connections that have to be under 24 hours.

This incredible deal relies on piecing together four sweet spots awards into one big trip.

The Starwood Preferred Guest personal and business credit cards from American Express now come with 35,000 bonus Starpoints for spending $3,000 and $5,000 respectively in the first three months of cardmembership.

Links:

Starwood Preferred Guest® Credit Card from American Express (personal)
Starwood Preferred Guest® Business Credit Card from American Express

The normal sign up bonus is 25,000 points, the twice yearly limited time offer is 30,000 points. This is the highest public sign up bonus ever on these cards.

On roundtrip United awards, you get one free stopover in addition to your destination and up to two open jaws.

I was having lunch with my friend the other day, and we started talking about miles and points. She has some credit cards and has even made a few redemptions, but from the conversation it was clear that there was a lot about our world she didn't know.

I gave her one homework assignment that I thought would greatly improve her grasp on miles.

Updated 1/29/16 to reflect new Aeroplan award prices effective for awards booked 12/15/15 or later.
Updated 10/6/15 to reflect new ANA award prices effective for awards booked 10/15/15 or later.

In the last few weeks, I have published some comparative charts of Star Alliance award charts. I'm putting all of those charts into this post for easier reference.

You can use any type of Star Alliance miles to book almost any Star Alliance flight. (Swiss, Lufthansa, and Singapore hold back some premium cabin award space for their own members.

The personal and business American Airlines credit cards are each offering 50,000 bonus miles after spending $3,000 in the first three months. Getting both cards and meeting their combined minimum spending requirement of $6,000 will earn you 106,000+ American Airlines miles, which you can use for up to four international roundtrips.

How to Get the Cards (and Who Is Eligible)
Meeting the Minimum Spending Requirements
Redeeming the Miles for Family Vacations, Luxurious First Class, and More

How to Get the Cards
Some credit card offers in this post have expired, but they might come back.

The personal and business American Airlines credit cards are each offering 50,000 bonus miles after spending $3,000 in the first three months. Getting both cards and meeting their combined minimum spending requirement of $6,000 will earn you 106,000+ American Airlines miles, which you can use for up to four international roundtrips.

How to Get the Cards (and Who Is Eligible)
Meeting the Minimum Spending Requirements
Redeeming the Miles for Family Vacations, Luxurious First Class, and More

How to Get the Cards
Some credit card offers in this post have expired, but they might come back.