You should define what you mean by "light" and also probably set a target budget.
To me anything more than 9lb is pretty heavy, 8.5lb is normal, 8 is borderline light and under 8lb is a lightweight. Less than 7lb scoped is a wicked light rifle. 8.5lb scoped is dead easy, almost any sporter-weight rifle with a 3-9ish scope is going to be around 8.5lb. A lighter rifle such as a kimber, with lighter rings and a 3-9 scope will be "pretty light", as will more or less any sporter-weight rifle in a carbon stock. If you want "wicked light" I'd argue that's probably not what most people actually want even though they think they do...but you could go the howa mini route or something like that...but it starts getting $$$$ above there imo.
A 6.5cm tikka stainless superlight with warne mtn tech rings and a trijicon credo or huron 3-9 will weigh about 7 1/4 lb for around $1500 new. Put it in a stocky's carbon sporter stock and you'll be down around 7lb even, for somewhere in the neighborhood of $2k all-in. To me both of those options are pretty darn light, lighter than I'd generally want. There are lighter scopes out there, but all of the lighter ones than those that I've tried had problems and are off the table for me. Not sure if this is "budget" or "lightweight" to you, but imo it's a good option at least.