Picking lunch takes forever not because there are too many options, but because nobody wants to be the one who chose.
Everyone says "I don't mind", then every suggestion gets "we had that yesterday". Choosing lunch drags because nobody wants to be the person who picked. Handing the decision to chance is faster.
The common mistake with a random picker is to throw in every option. Then something one person cannot eat comes up, and you spin again anyway.
Race Roulette works with dishes or places instead of people. Enter "Ramen", "Tacos", "Salad bar" — up to ten characters each — and the options race; whatever finishes first is lunch.
The advantage over a wheel is that you do not know until the end. Places swap in the last few seconds, so watching it becomes cheering rather than deciding. You also see second and third place, so if the winner turns out to be closed, go with the runner-up.
If most people lean one way, use weights — one booster per person who wants it. Three people want ramen? Give ramen 3 boosters. Its chance becomes 3 ÷ the total of all boosters. It is more likely, not guaranteed, so the minority choice still has a shot.