chore: improve oxlint example (#83898)

Follow-up of #83842

This PR adds the `eslint` plugin which enforces eslint-core rules, as
well as defines `ignorePatterns` that should work well with Next.js by
default

---------

Co-authored-by: Joseph <[email protected]>

Author: TheAlexLichter

examples/with-oxlint/.oxlintrc.json

@@ -1,4 +1,5 @@
 {
-  "$schema": "./node_modules/oxlint/configuration_schema.json",
-  "plugins": ["react", "unicorn", "oxc", "typescript", "nextjs"]
+  "$schema": "https://raw.githubusercontent.com/oxc-project/oxc/refs/tags/oxlint_v1.16.0/npm/oxlint/configuration_schema.json",
+  "plugins": ["eslint", "react", "unicorn", "oxc", "typescript", "nextjs"],
+  "ignorePatterns": ["node_modules/**", ".next/**", "dist/**", "build/**"]
 }

examples/with-oxlint/README.md

@@ -4,12 +4,14 @@ This example shows how to configure [Oxlint](https://oxc.rs/docs/guide/usage/lin
 
 Linting via Oxlint in this example includes type-aware linting through the `oxlint-tsgolint` integration, which is [in technical preview](https://oxc.rs/blog/2025-08-17-oxlint-type-aware.html) at the time of writing.
 
-In [`.oxlintrc.json`](./.oxlintrc.json), the plugins `react`, `unicorn`, `typescript`, `nextjs`, and `oxc` are enabled.
+In [`.oxlintrc.json`](./.oxlintrc.json), the plugins `eslint`, `react`, `unicorn`, `typescript`, `nextjs`, and `oxc` are enabled.
 
-The first four are [Rust-based Oxlint plugins](https://oxc.rs/docs/guide/usage/linter/plugins.html#supported-plugins) that port rules from the corresponding ESLint plugins.
+The first five are [Rust-based Oxlint plugins](https://oxc.rs/docs/guide/usage/linter/plugins.html#supported-plugins) that port rules from the ESLint core and the corresponding ESLint plugins.
 
 The `oxc` plugin provides Oxc-specific rules along with some rules ported from Deepscan.
 
+Further, Oxlint will not lint your `.next`, `dist`, `build` and `node_modules` directories based on the configured `ignorePatterns`.
+
 ## Deploy your own
 
 [![Deploy with Vercel](https://vercel.com/button)](https://vercel.com/new/clone?repository-url=https://github.com/vercel/next.js/tree/canary/examples/with-oxlint&project-name=with-oxlint&repository-name=with-oxlint)