What tests and analysis for 50 year data collected on fashion trends

#1
So, it is said that whatever is in fashion once comes back someday or the other. We have collected data on 10 different garment types, each having 5 different sub-types on what was in fashion in 50 years. (Eg- Jeans->Waist->High/Low/Mid-rise)

We plan on assigning each sub-type a grade/number to help with the analysis.

What kind of statistical analysis should we do on this time series to look for cyclic/seasonal/random trends? What software should we use?
 
#2
Interesting question you are attempting to answer. How exactly are you going to assign "grade/number" to the sub-types? I am just trying to understand what and how will be varying over time here.

SAS, Stata, R, SPSS can all run a time-series (or other longitudinal) analysis, as long as the researcher knows what to do )