Isopropyl alcohol is your safest bet for plastic model kits - it strips acrylic paint pretty effectively without harming most plastics that Revell and Tamiya use. Just soak the parts in 90% or higher IPA for a bit (anywhere from 30 minutes to a few hours depending on paint thickness), then gently scrub with an old toothbrush or soft brass brush. The paint should come off in flakes. Rinse everything thoroughly with water when you're done and let it dry completely. This method works best on acrylic paints, which most hobbyists use anyway.
For enamel paints, which are tougher, you've got a couple options. Some people swear by lacquer thinner or acetone, but honestly those are riskier - they can soften or warp certain plastics if you're not careful. If you go that route, test on a cheap sprue or hidden part first, work quickly, and use good ventilation. Another approach is Simple Green (the degreaser), which is gentler and worth trying before jumping to solvents. Soak for longer periods and scrub carefully.
The key thing is patience and testing. Don't rush it, especially with old kits where the plastic might be a bit more brittle. Work in small batches, use soft brushes, and always do a test spot if you're unsure about the paint type or plastic formula. Most people find IPA alone does the job just fine for stripping and repainting hobby models.