I realize thats probably an overused and broad description of a cigar....so I'll tell you the cigars I like..
I LOVE Drew Estate Cigars
Acid Brand is DEFINITELY my favorite...
Acid ONE being at the top...
then Acid Roam
Then Java
The Natural Clean Robusto
(out of the Drew Estate company now)
Garcia Y Vega Game (Green)
I'm not really into the infused thing (although Acid is all about those, obviously) I'll smoke but don't love the Honey or Vanilla kind of things..those ARE usually mellow and mild...but not what I'm looking for....
Robbie at Cordova Cigars in Pensacola is AWESOME at recommending things...I'll go see him next week...but I'd like some other opinions as well!
Good mild inexpensive cigar would be Helix. Macanudo is mild, but consistent in its flavor. Sancho Panza is a fairly mild Honduran cigar as well. Diamond Crown is a superior mild cigar. There are many good mild cigars to try; I am sure you will enjoy working your way through the list that the folks here at SC put together for you...
Acid Kuba is AWESOME - I swear it tasted like it was wrapped in sugar - I loved it! It gave the most perfect burn and was small enough to give a nice medium time smoke - I will surely smoke one again soon - I happen to get them at Cigar Artisans an annual event at Thompson in Tampa -
Occidental Reserve (either connecticut or Double Broadleaf maduro)
Cusano M1 or P1(cheaper than Macanudo, just as mild)
Fonseca 5-50 (like smoking white bread)