WordWeb Online

1. Heavy and starchy and hard to digest
   "stodgy food"; "a stodgy pudding served up when everyone was already full"
    
2. (used pejoratively) out of fashion; old fashioned
   "stodgy ideas about family life";
   - fogyish, moss-grown, mossy, stick-in-the-mud, fogeyish
    
3. Excessively conventional and unimaginative and hence dull
   "a stodgy dinner party"; "why is the middle class so stodgy, so utterly without a sense of humour?";
   - stuffy, staid

Derived forms: stodgiest, stodgier

See also: button-down, buttoned-down [US, informal], conservative, conventional, daggy [Austral, NZ, informal], indigestible, unfashionable, unstylish