I've never used a stove top so can't compare, but I am a fan of Aeropress. It makes a really tasty, super smooth cup of coffee, and in under 2 minutes. No spitting out coffee grounds. It's excellent for bringing out the flavours in coffee and cuts out a lot of the bitter flavours. Super easy to clean too, just a rinse under the tap. Cons are inconsistency (though that might just be me) and it only makes one cup at a time.