diff --git a/src/components/SearchableSelect.vue b/src/components/SearchableSelect.vue
new file mode 100644
index 0000000..3287a28
--- /dev/null
+++ b/src/components/SearchableSelect.vue
@@ -0,0 +1,205 @@
+<script setup lang="ts">
+import { computed, nextTick, onBeforeUnmount, onMounted, ref, watch } from 'vue'
+import { Check, ChevronDown, Search } from 'lucide-vue-next'
+import { controlVariants, type ControlSize } from '../lib/control'
+import { cn } from '../lib/utils'
+
+/**
+ * One of a known set, found by typing.
+ *
+ * A native select is fine for a handful of options and useless for a hundred:
+ * a provider names its models and nobody remembers the spelling, so the list
+ * has to be searchable to be usable at all.
+ */
+
+export interface SearchableSelectOption {
+  value: string
+  label: string
+  /** Said beside the label, for anything the label alone leaves ambiguous. */
+  hint?: string
+  /** The heading this sits under. Options with no group come first, ungrouped. */
+  group?: string
+}
+
+const props = withDefaults(defineProps<{
+  modelValue?: string
+  options: SearchableSelectOption[]
+  placeholder?: string
+  searchPlaceholder?: string
+  /** Offered above every option, for "nothing chosen". */
+  emptyLabel?: string
+  size?: ControlSize
+  class?: string
+  invalid?: boolean
+  disabled?: boolean
+}>(), {
+  modelValue: '',
+  placeholder: 'Choose one',
+  searchPlaceholder: 'Search',
+  size: 'default',
+  invalid: false,
+  disabled: false,
+})
+
+const emit = defineEmits<{ 'update:modelValue': [string] }>()
+
+const open = ref(false)
+const term = ref('')
+const active = ref(0)
+const root = ref<HTMLElement | null>(null)
+const field = ref<HTMLInputElement | null>(null)
+
+const chosen = computed(() => props.options.find(one => one.value === props.modelValue))
+const shown = computed(() => {
+  const wanted = term.value.trim().toLowerCase()
+  if (!wanted) return props.options
+  return props.options.filter(one =>
+    one.label.toLowerCase().includes(wanted)
+    || one.value.toLowerCase().includes(wanted)
+    || (one.group ?? '').toLowerCase().includes(wanted)
+    || (one.hint ?? '').toLowerCase().includes(wanted),
+  )
+})
+
+/** What the keyboard walks: the empty row, when offered, and then the options. */
+const walkable = computed<(SearchableSelectOption | null)[]>(() =>
+  props.emptyLabel ? [null, ...shown.value] : [...shown.value],
+)
+
+/**
+ * Where each heading falls, rather than a nested list.
+ *
+ * Grouping by rendering a list per group would make the index the keyboard
+ * counts differ from the order on screen, and the two disagreeing is how an
+ * arrow key selects the wrong thing.
+ */
+function headingBefore(option: SearchableSelectOption, index: number): string {
+  const previous = shown.value[index - 1]
+  return option.group && option.group !== previous?.group ? option.group : ''
+}
+
+function choose(value: string) {
+  emit('update:modelValue', value)
+  close()
+}
+
+function close() {
+  open.value = false
+  term.value = ''
+}
+
+async function show() {
+  if (props.disabled) return
+  open.value = true
+  active.value = Math.max(0, walkable.value.findIndex(one => one?.value === props.modelValue))
+  await nextTick()
+  field.value?.focus()
+}
+
+function onKey(event: KeyboardEvent) {
+  if (!open.value) {
+    if (event.key === 'Enter' || event.key === 'ArrowDown' || event.key === ' ') {
+      event.preventDefault()
+      show()
+    }
+    return
+  }
+
+  if (event.key === 'Escape') { close(); return }
+  if (event.key === 'ArrowDown') {
+    event.preventDefault()
+    active.value = Math.min(active.value + 1, walkable.value.length - 1)
+  }
+  if (event.key === 'ArrowUp') {
+    event.preventDefault()
+    active.value = Math.max(active.value - 1, 0)
+  }
+  if (event.key === 'Enter') {
+    event.preventDefault()
+    const one = walkable.value[active.value]
+    if (one !== undefined) choose(one?.value ?? '')
+  }
+}
+
+watch(term, () => { active.value = 0 })
+
+function onOutside(event: MouseEvent) {
+  if (open.value && root.value && !root.value.contains(event.target as Node)) close()
+}
+
+onMounted(() => document.addEventListener('mousedown', onOutside))
+onBeforeUnmount(() => document.removeEventListener('mousedown', onOutside))
+</script>
+
+<template>
+  <div ref="root" class="relative">
+    <button
+      type="button"
+      role="combobox"
+      :aria-expanded="open"
+      :disabled="disabled"
+      :class="cn(controlVariants({ size, invalid }), 'flex items-center gap-2 text-left', props.class)"
+      @click="open ? close() : show()"
+      @keydown="onKey"
+    >
+      <span class="min-w-0 flex-1 truncate" :class="chosen ? '' : 'text-muted-foreground'">
+        {{ chosen?.label ?? (modelValue || placeholder) }}
+      </span>
+      <ChevronDown class="h-4 w-4 shrink-0 text-muted-foreground" />
+    </button>
+
+    <div
+      v-if="open"
+      class="absolute z-50 mt-1 w-full overflow-hidden rounded-md border bg-card shadow-lg"
+    >
+      <div class="relative border-b">
+        <Search class="absolute left-2.5 top-1/2 h-3.5 w-3.5 -translate-y-1/2 text-muted-foreground" />
+        <input
+          ref="field"
+          v-model="term"
+          class="w-full bg-transparent py-2 pl-8 pr-2 text-sm outline-none placeholder:text-muted-foreground"
+          :placeholder="searchPlaceholder"
+          @keydown="onKey"
+        >
+      </div>
+
+      <div class="max-h-64 overflow-y-auto p-1">
+        <button
+          v-if="emptyLabel"
+          type="button"
+          class="flex w-full items-center gap-2 rounded px-2 py-1.5 text-left text-sm"
+          :class="active === 0 ? 'bg-muted' : 'hover:bg-muted/60'"
+          @click="choose('')"
+          @mousemove="active = 0"
+        >
+          <Check class="h-3.5 w-3.5 shrink-0" :class="modelValue ? 'opacity-0' : ''" />
+          <span class="min-w-0 flex-1 truncate text-muted-foreground">{{ emptyLabel }}</span>
+        </button>
+
+        <template v-for="(one, i) in shown" :key="one.value">
+          <p
+            v-if="headingBefore(one, i)"
+            class="px-2 pb-1 pt-2 text-[11px] font-medium uppercase tracking-wider text-muted-foreground"
+          >
+            {{ one.group }}
+          </p>
+          <button
+            type="button"
+            class="flex w-full items-center gap-2 rounded px-2 py-1.5 text-left text-sm"
+            :class="active === (emptyLabel ? i + 1 : i) ? 'bg-muted' : 'hover:bg-muted/60'"
+            @click="choose(one.value)"
+            @mousemove="active = emptyLabel ? i + 1 : i"
+          >
+            <Check class="h-3.5 w-3.5 shrink-0" :class="one.value === modelValue ? '' : 'opacity-0'" />
+            <span class="min-w-0 flex-1 truncate">{{ one.label }}</span>
+            <span v-if="one.hint" class="shrink-0 text-[11px] text-muted-foreground">{{ one.hint }}</span>
+          </button>
+        </template>
+
+        <p v-if="!shown.length" class="px-2 py-6 text-center text-sm text-muted-foreground">
+          Nothing matches.
+        </p>
+      </div>
+    </div>
+  </div>
+</template>
diff --git a/src/index.js b/src/index.js
index e3df1c8..a3f4b07 100644
--- a/src/index.js
+++ b/src/index.js
@@ -15,6 +15,7 @@ export { default as Input } from './components/Input.vue'
 export { default as ItemCard } from './components/ItemCard.vue'
 export { default as PageHead } from './components/PageHead.vue'
 export { default as Select } from './components/Select.vue'
+export { default as SearchableSelect } from './components/SearchableSelect.vue'
 export { default as Tabs } from './components/Tabs.vue'
 export { default as Textarea } from './components/Textarea.vue'
 export { default as ListInput } from './components/ListInput.vue'