Are there any airliners not made by Airbus or Boeing?
Yes. Ignoring companies that used to exist but are now bankrupt/merged into Airbus or Boeing, you have companies from countries that aren't historically too friendly with the US and Western Europe. For instance, Tupolev makes the Tu-204, which is currently in production and seats over 175 passengers. The Ilyushin-designed Il-96 is a widebody in current use some places (Russia, Cuba). Before the Cold War ended, Russia had more indigenous airliners; Aeroflot now largely uses Boeings and Airbuses, but there are still Russian aircraft that see use.

In addition, you have newer manufacturers starting to enter the market: Bombardier with their CSeries, Comac (in China) with their C919 (in development), and Irkut with their MC-21 (in development). Embraer makes planes of more than 100 seats (although they're shorter-range, and you might consider them regional jets).