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Preheat oven to 350 degrees F.
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Grease a 13x9-inch baking pan.
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Beat butter and sugar in a large bowl with electric mixer until fluffy.
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Stir in corn syrup, oats and vanilla with wooden spoon.
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With buttered fingers, pat mixture evenly into prepared pan.
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Bake in middle of oven 16 minutes. (Dough will still look moist near center. Don't overbake!).
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Cool in pan on rack until lukewarm.
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Glaze: combine the semisweet chocolate chips and creamy peanut butter in a small saucepan. Stir over low heat until chocolate melts and mixture is smooth.
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Spread warm Glaze over top.
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Cool completely (may be refrigerated) before cuting into 2x1-inch bars.