I would be happy to help you find that new but older designed home. Have you just begun your research or have you settled on an area of Tampa that you are interested in? Tampa has so many unique areas that ould provide an answer to your request. I would love to talk more with you about your criteria and home search. Please review my profile on Trulia and give me a call at 813-352-6219.
No pressure, just answers.
There are many great neighborhoods in Tampa Bay, from the distinct styles found in the South Tampa Area to Bungalows in the Seminole heights area and on to newer construction in West Park village in Westchase.
Your question is very broad, there are many variables; budget, timeline, work, transportation, lifestyle, size of home, etc....
In direct answer to your question - Yes there are plenty.