What if Sega never left the video game console market?

In 2001, Japanese video game publisher Sega announced that it would leave the video game console market by discontinuing the Dreamcast due to its low sales and heavy competition from Sony's PlayStation 2 that led to significant financial losses. But what if the company went for a different path and reviewed its role in the market? Here's a potential scenario.

List of changes

 * As an attempt to boost its sales, Sega launched a revised version of the Dreamcast in 2002 that allowed enhanced graphics as well as extra storage, quickly becoming a TBD within the gaming community.
 * During the merger with Sammy, Sega would have bought ArcSystem Works, gaining the rights to their franchises.
 * Sega would still allow the release of its games to competing platforms, although key games will be exclusive to its platforms.
 * The Sonic series would suffer a few changes, such as changes to the main games, tweaked shows and movies, etc.
 * TBD

Home consoles

 * /Sega Dreamcast/ (1998-2006)
 * /Sega Nova/ (2006-2015)
 * /Sega Neo/ (2014-present)
 * /Sega Nebula/ (2020-present)

Handheld

 * /Sega Comet/ (2004-2013)
 * /Sega Meteor/ (2012-2018)
 * /Sega Cosmic/ (2018-present)

Franchises

 * /Sonic the Hedgehog/
 * /NiGHTS Into Dreams/
 * /Puyo Puyo/
 * /Like a Dragon/
 * /Shenmue/
 * /Streets of Rage/
 * /Crazy Taxi/
 * /Super Monkey Ball/
 * /Samba de Amigo/

Atlus

 * /Shin Megami Tensei/
 * /Persona/
 * /Catherine/
 * /Snowboard Kids/

ArcSystem Works

 * /Guilty Gear/
 * /BlazBlue/

Animated

 * Sonic the Hedgehog (Warner Bros. Pictures/Warner Animation Group, 2019)
 * /Sonic the Hedgehog 2/ (Warner Bros. Pictures/Warner Animation Group, 2022)

Television

 * Sonic X (TV Tokyo/FoxBox, 2003-2005)
 * Sonic Boom (Canal J/Gulli/Cartoon Network, 2014-2018)
 * Shenmue: The Animation (Tokyo MX/Crunchyroll/Adult Swim, 2022-present)
 * /Sonic Champions/ (HBO Max/Cartoon Network, 2022-present)