A very high degree of voter choice. A high degree of proportionality not only of parties but also of other groupings that matter to voters. Voters can vote sincerely, knowing that, if their favourite candidate is unsuccessful, they can still contribute to the election of a candidate of whom they approve.
Voting does not have to be on party lines; preferences can be made on whatever criteria the voter considers most important. STV encourages parties to put up a wide range of candidates to gain more support and this is likely to result in a more diverse Parliament; e.g. by gender, ethnicity, background etc.
There would be one marginal seat in nearly every constituency, encouraging parties to campaign vigorously everywhere. (The parties virtually ignore most constituencies under FPTP). MPs elected under STV would have a personal mandate and might be bolder in defying the party whip; they would also be more accountable to the voters. STV would reduce electoral “deserts” where parties gain significant numbers of votes but no seats.
You may find FAQ useful.
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