diff --git a/packages/compiler/src/frontend/lowering/global-values.ts b/packages/compiler/src/frontend/lowering/global-values.ts
index 6fc3cb694..af52fe94e 100644
--- a/packages/compiler/src/frontend/lowering/global-values.ts
+++ b/packages/compiler/src/frontend/lowering/global-values.ts
@@ -168,16 +168,22 @@ const URI_FUNCTIONS = new Set([
 ]);
 
 /** The builtin globals that sloppy-mode functions of the JavaScript source
- * `sf` read through their `this` (`this.Array`) or through a variable it
- * initializes (`var root = this; root.Array`). Called with undefined or null
- * as `this`, such a function reads them on the global object, which answers
- * them through the program's lookup. */
+ * `sf` read through their `this` (`this.Array`, `this["Array"]`) or through
+ * a variable it initializes (`var root = this; root.Array`); every declared
+ * global when such a read takes a computed key (`this[name]`). Called with
+ * undefined or null as `this`, such a function reads them on the global
+ * object, which answers them through the program's lookup. */
 export function sloppyThisGlobalReadsOf(lowerer: Lowerer, sf: ts.SourceFile): ReadonlySet<string> {
   const cached = lowerer.sloppyThisGlobalReads.get(sf);
   if (cached !== undefined) return cached;
   const reads = new Set<string>();
   if (isJsSourceFile(sf)) {
     const declared = new Set(declaredGlobalNames(lowerer, sf));
+    // Element reads of `this` or of a variable, and the names of the
+    // variables initialized with `this`: the checker resolves only the
+    // element reads of `this` and of those variables.
+    const elementReads: ts.ElementAccessExpression[] = [];
+    const thisAliases = new Set<string>();
     ts.walkPreorder(sf, (node) => {
       if (
         ts.isPropertyAccessExpression(node) &&
@@ -186,8 +192,32 @@ export function sloppyThisGlobalReadsOf(lowerer: Lowerer, sf: ts.SourceFile): Re
         readsSloppyThis(lowerer, node.expression)
       )
         reads.add(node.name.text);
+      else if (ts.isElementAccessExpression(node)) {
+        const target = withoutParentheses(node.expression);
+        if (target.kind === ts.SyntaxKind.ThisKeyword || ts.isIdentifier(target))
+          elementReads.push(node);
+      } else if (
+        ts.isVariableDeclaration(node) &&
+        ts.isIdentifier(node.name) &&
+        node.initializer !== undefined &&
+        withoutParentheses(node.initializer).kind === ts.SyntaxKind.ThisKeyword
+      )
+        thisAliases.add(node.name.text);
       return undefined;
     });
+    for (const node of elementReads) {
+      const target = withoutParentheses(node.expression);
+      if (ts.isIdentifier(target) && !thisAliases.has(target.text)) continue;
+      if (!readsSloppyThis(lowerer, node.expression) || !readsBuiltinByName(lowerer, node))
+        continue;
+      const key = withoutParentheses(node.argumentExpression);
+      if (ts.isStringLiteralLike(key)) {
+        if (declared.has(key.text)) reads.add(key.text);
+      } else if (!ts.isNumericLiteral(key)) {
+        for (const name of declared) reads.add(name);
+        break;
+      }
+    }
   }
   lowerer.sloppyThisGlobalReads.set(sf, reads);
   return reads;
@@ -196,8 +226,7 @@ export function sloppyThisGlobalReadsOf(lowerer: Lowerer, sf: ts.SourceFile): Re
 /** Whether `expr` is the `this` of a sloppy-mode function, or a variable
  * whose only declaration initializes it with that `this`. */
 function readsSloppyThis(lowerer: Lowerer, expr: ts.Expression): boolean {
-  let inner = expr;
-  while (ts.isParenthesizedExpression(inner)) inner = inner.expression;
+  const inner = withoutParentheses(expr);
   if (inner.kind === ts.SyntaxKind.ThisKeyword) return sloppyReceiverOf(inner);
   if (!ts.isIdentifier(inner)) return false;
   const declarations = lowerer.checker.getSymbolAtLocation(inner)?.declarations ?? [];
@@ -208,11 +237,17 @@ function readsSloppyThis(lowerer: Lowerer, expr: ts.Expression): boolean {
     !ts.isVariableDeclaration(declaration)
   )
     return false;
-  let init = declaration.initializer;
-  while (init !== undefined && ts.isParenthesizedExpression(init)) init = init.expression;
+  const init =
+    declaration.initializer === undefined ? undefined : withoutParentheses(declaration.initializer);
   return init !== undefined && init.kind === ts.SyntaxKind.ThisKeyword && sloppyReceiverOf(init);
 }
 
+function withoutParentheses(expr: ts.Expression): ts.Expression {
+  let inner = expr;
+  while (ts.isParenthesizedExpression(inner)) inner = inner.expression;
+  return inner;
+}
+
 /** Whether the `this` at `node` is a sloppy-mode function's receiver
  * (lower-functions.ts declareCallReceiver): arrows take the enclosing one. */
 function sloppyReceiverOf(node: ts.Node): boolean {
diff --git a/packages/compiler/test/ts7/baselines/order-parity/tests/corpus/sloppy-this-global-computed.cjs.json b/packages/compiler/test/ts7/baselines/order-parity/tests/corpus/sloppy-this-global-computed.cjs.json
new file mode 100644
index 000000000..ba45eb398
--- /dev/null
+++ b/packages/compiler/test/ts7/baselines/order-parity/tests/corpus/sloppy-this-global-computed.cjs.json
@@ -0,0 +1,6 @@
+{
+ "order": [
+  "<repo>/tests/corpus/sloppy-this-global-computed.cjs"
+ ],
+ "diags": []
+}
diff --git a/tests/corpus/sloppy-this-global-computed.cjs b/tests/corpus/sloppy-this-global-computed.cjs
new file mode 100644
index 000000000..ac526e086
--- /dev/null
+++ b/tests/corpus/sloppy-this-global-computed.cjs
@@ -0,0 +1,26 @@
+// A sloppy-mode function called with undefined or null as its receiver reads
+// builtin globals on the global object by computed keys, directly and through
+// a variable its `this` initializes.
+
+function readByKey(key) {
+  return this[key];
+}
+function aliasedRead(key) {
+  var root = this;
+  return root[key];
+}
+
+console.log(readByKey("Array") === Array, readByKey("JSON") === JSON);
+console.log(aliasedRead("Map") === Map, typeof aliasedRead("setTimeout"));
+console.log(readByKey.call(null, "Promise") === Promise, readByKey.call({ Promise: 1 }, "Promise"));
+console.log(readByKey("globalThis") === globalThis, readByKey("missingGlobal"));
+
+const names = ["Object", "Symbol", "Uint8Array"];
+const values = [Object, Symbol, Uint8Array];
+console.log(names.map((name, i) => readByKey(name) === values[i]));
+
+function strictRead(key) {
+  "use strict";
+  return this === undefined ? "no receiver" : this[key];
+}
+console.log(strictRead("Array"), strictRead.call({ Array: 2 }, "Array"));
diff --git a/tests/corpus/sloppy-this-global.cjs b/tests/corpus/sloppy-this-global.cjs
index dfca51b30..ca7f212db 100644
--- a/tests/corpus/sloppy-this-global.cjs
+++ b/tests/corpus/sloppy-this-global.cjs
@@ -19,6 +19,13 @@ function aliasedRoot() {
 }
 console.log(readBuiltins(), aliasedRoot());
 
+// Builtins read through the global `this` by literal keys.
+function readByLiteral() {
+  var root = this;
+  return [this["Map"] === Map, root["Math"] === Math, typeof this[`Set`], this[0]];
+}
+console.log(readByLiteral(), readByLiteral.call({ Map: 1 })[0]);
+
 function receiver() {
   return this;
 }
diff --git a/tests/harness/corpus-costs/sloppy-this-global-computed.cjs.json b/tests/harness/corpus-costs/sloppy-this-global-computed.cjs.json
new file mode 100644
index 000000000..2249e0825
--- /dev/null
+++ b/tests/harness/corpus-costs/sloppy-this-global-computed.cjs.json
@@ -0,0 +1 @@
+{ "plain": 3300, "san": 4550 }