For the living and hall decor you can wrap the vases with burlap, create some DIY wall art pieces and the planters. For kitchen and dining area there is a lot scope for the burlap use like the table clothe, utensil holder, table runner, kitchen bags and totes.
Spring Burlap & Felt Bunting:

Image: seevanessacraft
Scented Burlap Drawer Sachets:

Image: crafthubs
Super Easy Burlap Vase:

Image: listinspired
French Inspired Magazine Rack:

Image: diyjoy
Chevron & Burlap Bag:

Image: etsy
Burlap & Pinecones Wreath:

mage: countryliving
Burlap & Lace Wrapped Jar:

Image: diybeautify
Burlap Ball,Tree:

Image: etsy
Burlap Wrapped Vase:

Image: beadandcord
No Sew Burlap Table Runner:

Image: inspiredbycharm
Burlap Milk Carton Planter:

Image: lowerlonsdale.ca
Utensil Holders:

Image: crafthubs
Burlap Pennant Banner:

Image: martadansie
Burlap & Jute Vintage Bottle:

Image: bfranklincrafts
Round Burlap Ruffle Tablecloth:

Image: etsy
Outdoor Burlap Rug:

Image: pinimg
Custom Wedding Bouquet:

Image: loveitsomuch
A Pretty Burlap-Lace Purse:

Image: youtube
Rustic Lamps & Shades:

Image: softsurroundings
Burlap Menu Board:

Image: thefrugalhomemaker
Burlap Messenger Bag:

Image: lizmarieblog
Chicken Wire With Burlap Drum Pendant Shades Of Light:

Image: shadesoflight
Budget Friendly Centerpiece:

Image: mayarts
Drawstring Backpack:

Image: etsy
Burlap Coffee Bag:

Image: nur-noch
Burlap Bowl:

Image: homedit
Easy Burlap Coastal Decor:

Image: listinspired
Five Cool Stenciling:

mage: diyinspired