Yes. I tend to be a bit of a “Sandbox” GM…
as in “Here’s the sandbox, go play in it and do what you find interesting”… which is part of my own issue with running for 1 or 2 players; at 4, there is a synergy that tends to give me directions and hooks. At three, with the right three, that synergy can and does work. At 2, however, it’s seldom present, and at 1, it isn’t.
My core players (Steve, Steph, Jerry) also all want more face time spent on things that interest them, more than on things that interest me.
I’ve been gaming with Steve for 20 years, more on than off, and steph for 14, and Jerry for 12. My extended group (Eric, Mark, Dave, Peter, Kat, Crystal, Dale plus the core) have been gaming with me off and on for 9 (Crystal) to 25 (Mark, Peter) years.
Of the lot, only Steph isn’t an experienced GM. But she, more than the rest, felt disconnected by MG mechanics; I suspect it has a lot to do with playing a lot of “Rules-light” or “Non-mechanical” RP on line. Like the approved Pern Weyrs. Collaborative authoring.
Sandboxes I’ve run: Traveller (2 editions; the marches as a playground), D&D Cyclopedia + Gazeteers, M&M (Let players suggest plots and big-bads, and randomize whom with which plot, so they don’t know what to expect, but it’s something they sugggested…), Judge Dredd (GW version; give them a few blurb hooks, and let them pick one of those or a 59(d) search…), Ars Magica.
Semi-sandboxes (I present a big bad, and have a planned meet-up at the end; nothing in between is in any way scripted): BTVS*, L5R
Non-sandbox (Here’s the mission, go do it): BTVS*, D-Trek, Prime Direvtive, KAP*, T&T dungeon crawls.
Even when I run non-sandbox games, there are often sections where it’s a “Montessori Game”… a constrained environment, but your choices determine which things happen in what order… (Much like a Montessori method classroom, or a classic dungeon crawl.)
So my players are used to a lot of contol over the direction the story takes, since I tend to “react” to players actions. When they give me hooks, I give them hooks. MG, they didn’t have enough to do that, and didn’t feel like they had much control.
Heck, for comparison, In D&D (CR, in Darokin on Mystara), they, as a level 1 party, had a random encounter with a Green Dragon while fleeing a dungeon. I was going to have it ignore them by fiat, just give them a scare, but the Fairy Magic Missiled it… and then fled for the dungeon… just to have it and the locals get into it. Of course, the reaction roll was thus hostile, and yes, it pursued, and yes, the locals reacted to the dragon… A very successful “Let’s You and Him Fight” using an 8hd juvie dragon (54hp) to take care of a dozen angry kobolds (10x 1/2hd, 3hp ea, plus a 2nd level kobold of 1hd, with 9 hp, and a 3rd level with 1.5hd and 16 hp).
But, of late, they also want more and more in-character and less wargame. They also want more sandbox than MG is set up for. I could adapt it, but it isn’t worth it when BE is mechanically what they are asking for (even as they shy from it for setting issues); more chances to play in character, to give voice, and more impact on the setting.